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80355429864 = 23341717940751
BaseRepresentation
bin100101011010110001…
…1101000110111101000
321200102002220210010000
41022311203220313220
52304031442223424
6100525331423000
75543165612163
oct1126543506750
9250362823100
1080355429864
11310955aa876
12136a6a54a60
13776796c648
143c6405aada
1521547cb3c9
hex12b58e8de8

80355429864 has 160 divisors (see below), whose sum is σ = 239646211200. Its totient is φ = 25068096000.

The previous prime is 80355429841. The next prime is 80355429937. The reversal of 80355429864 is 46892455308.

80355429864 is a `hidden beast` number, since 8 + 0 + 3 + 5 + 542 + 98 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 80355429864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1951489 + ... + 1992239.

It is an arithmetic number, because the mean of its divisors is an integer number (1497788820).

Almost surely, 280355429864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80355429864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119823105600).

80355429864 is an abundant number, since it is smaller than the sum of its proper divisors (159290781336).

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

80355429864 is a wasteful number, since it uses less digits than its factorization.

80355429864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40965 (or 40952 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 80355429864 in words is "eighty billion, three hundred fifty-five million, four hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 179 204 216 306 324 358 408 459 537 612 648 716 918 1074 1224 1377 1432 1611 1836 2148 2754 3043 3222 3672 4296 4833 5508 6086 6444 9129 9666 11016 12172 12888 14499 18258 19332 24344 27387 28998 36516 38664 40751 54774 57996 73032 81502 82161 109548 115992 122253 163004 164322 219096 244506 246483 326008 328644 366759 489012 492966 657288 692767 733518 978024 985932 1100277 1385534 1467036 1971864 2078301 2200554 2771068 2934072 3300831 4156602 4401108 5542136 6234903 6601662 7294429 8313204 8802216 12469806 13203324 14588858 16626408 18704709 21883287 24939612 26406648 29177716 37409418 43766574 49879224 56114127 58355432 65649861 74818836 87533148 112228254 124005293 131299722 149637672 175066296 196949583 224456508 248010586 262599444 372015879 393899166 448913016 496021172 525198888 590848749 744031758 787798332 992042344 1116047637 1181697498 1488063516 1575596664 2232095274 2363394996 2976127032 3348142911 4464190548 4726789992 6696285822 8928381096 10044428733 13392571644 20088857466 26785143288 40177714932 80355429864