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55779397520 = 24571119945503
BaseRepresentation
bin110011111100101101…
…100000111110010000
312022222100202222120212
4303330231200332100
51403214011210040
641342534023252
74013160025130
oct637455407620
9168870688525
1055779397520
1121724019a40
12a9884a7b28
13534c219a82
1429b2116ac0
1516b6e53d65
hexcfcb60f90

55779397520 has 160 divisors (see below), whose sum is σ = 162503884800. Its totient is φ = 17298040320.

The previous prime is 55779397511. The next prime is 55779397537. The reversal of 55779397520 is 2579397755.

It is a happy number.

It is a super-2 number, since 2×557793975202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55779397520.

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 31 ways as a sum of consecutive naturals, for example, 1203089 + ... + 1248591.

It is an arithmetic number, because the mean of its divisors is an integer number (1015649280).

Almost surely, 255779397520 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 55779397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81251942400).

55779397520 is an abundant number, since it is smaller than the sum of its proper divisors (106724487280).

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

55779397520 is a wasteful number, since it uses less digits than its factorization.

55779397520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45733 (or 45727 counting only the distinct ones).

The product of its (nonzero) digits is 20837250, while the sum is 59.

The spelling of 55779397520 in words is "fifty-five billion, seven hundred seventy-nine million, three hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 199 220 280 308 385 398 440 560 616 770 796 880 995 1232 1393 1540 1592 1990 2189 2786 3080 3184 3980 4378 5572 6160 6965 7960 8756 10945 11144 13930 15323 15920 17512 21890 22288 27860 30646 35024 43780 45503 55720 61292 76615 87560 91006 111440 122584 153230 175120 182012 227515 245168 306460 318521 364024 455030 500533 612920 637042 728048 910060 1001066 1225840 1274084 1592605 1820120 2002132 2502665 2548168 3185210 3503731 3640240 4004264 5005330 5096336 6370420 7007462 8008528 9055097 10010660 12740840 14014924 17518655 18110194 20021320 25481680 28029848 35037310 36220388 40042640 45275485 56059696 63385679 70074620 72440776 90550970 99606067 126771358 140149240 144881552 181101940 199212134 253542716 280298480 316928395 362203880 398424268 498030335 507085432 633856790 697242469 724407760 796848536 996060670 1014170864 1267713580 1394484938 1593697072 1992121340 2535427160 2788969876 3486212345 3984242680 5070854320 5577939752 6972424690 7968485360 11155879504 13944849380 27889698760 55779397520