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549460868406372 = 22321317211332684549
BaseRepresentation
bin111110011101110110101001…
…1111000010001110001100100
32200001110221112122112021102100
41330323231103320101301210
51034004331324303000442
65224334501022012100
7223510144352560506
oct17473552370216144
92601427478467370
10549460868406372
1114a091055888a3a
1251761245117030
131a778c25a9a870
149998095727d76
15437cb112cd84c
hex1f3bb53e11c64

549460868406372 has 144 divisors (see below), whose sum is σ = 1584489720668400. Its totient is φ = 159044579426304.

The previous prime is 549460868406367. The next prime is 549460868406407. The reversal of 549460868406372 is 273604868064945.

549460868406372 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 608 + 6 + 8 + 4 + 0 + 6 + 3 + 7 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 164762228528676 + 384698639877696 = 12835974^2 + 19613736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 549460868406372.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468754 + ... + 33153302.

It is an arithmetic number, because the mean of its divisors is an integer number (11003400837975).

Almost surely, 2549460868406372 is an apocalyptic number.

549460868406372 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549460868406372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792244860334200).

549460868406372 is an abundant number, since it is smaller than the sum of its proper divisors (1035028852262028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

549460868406372 is a wasteful number, since it uses less digits than its factorization.

549460868406372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32686702 (or 32686697 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 549460868406372 in words is "five hundred forty-nine trillion, four hundred sixty billion, eight hundred sixty-eight million, four hundred six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2113 2652 3978 4226 6339 7956 8452 12678 19017 25356 27469 35921 38034 54938 71842 76068 82407 107763 109876 143684 164814 215526 247221 323289 329628 431052 466973 494442 646578 933946 988884 1293156 1400919 1867892 2801838 4202757 5603676 8405514 16811028 32684549 65369098 98053647 130738196 196107294 294160941 392214588 424899137 555637333 588321882 849798274 1111274666 1176643764 1274697411 1666911999 1699596548 2222549332 2549394822 3333823998 3824092233 5000735997 5098789644 6667647996 7223285329 7648184466 10001471994 14446570658 15296368932 20002943988 21669855987 28893141316 43339711974 65009567961 69062452037 86679423948 130019135922 138124904074 207187356111 260038271844 276249808148 414374712222 621562068333 828749424444 897811876481 1174061684629 1243124136666 1795623752962 2348123369258 2486248273332 2693435629443 3522185053887 3591247505924 4696246738516 5386871258886 7044370107774 8080306888329 10566555161661 10773742517772 14088740215548 15262801900177 16160613776658 21133110323322 30525603800354 32321227553316 42266220646644 45788405700531 61051207600708 91576811401062 137365217101593 183153622802124 274730434203186 549460868406372