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55799438156 = 227211314611811
BaseRepresentation
bin110011111101111001…
…111101101101001100
312100000202111011011122
4303331321331231030
51403234124010111
641344531340112
74013522253500
oct637571755514
9170022434148
1055799438156
1121734367850
12a993151638
135353415837
1429b4a52300
1516b8ab1cdb
hexcfde7db4c

55799438156 has 144 divisors (see below), whose sum is σ = 128263855104. Its totient is φ = 20981520000.

The previous prime is 55799438143. The next prime is 55799438263. The reversal of 55799438156 is 65183499755.

It is a super-2 number, since 2×557994381562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 30810491 + ... + 30812301.

It is an arithmetic number, because the mean of its divisors is an integer number (890721216).

Almost surely, 255799438156 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 55799438156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64131927552).

55799438156 is an abundant number, since it is smaller than the sum of its proper divisors (72464416948).

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

55799438156 is a wasteful number, since it uses less digits than its factorization.

55799438156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2323 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 62.

The spelling of 55799438156 in words is "fifty-five billion, seven hundred ninety-nine million, four hundred thirty-eight thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 461 539 682 868 922 1078 1364 1519 1811 1844 2156 2387 3038 3227 3622 4774 5071 6076 6454 7244 9548 10142 12677 12908 14291 16709 19921 20284 22589 25354 28582 33418 35497 39842 45178 50708 56141 57164 66836 70994 79684 88739 90356 100037 112282 139447 141988 157201 177478 200074 224564 248479 278894 314402 354956 392987 400148 496958 557788 617551 628804 700259 785974 834871 976129 993916 1100407 1235102 1400518 1571948 1669742 1952258 2200814 2470204 2750909 2801036 3339484 3904516 4322857 4401628 5501818 5844097 7702849 8645714 9183581 11003636 11688194 15405698 17291428 18367162 23376388 25881001 30259999 30811396 36734324 40908679 51762002 60519998 64285067 81817358 103524004 121039996 128570134 163634716 181167007 257140268 284691011 362334014 449995469 569382022 724668028 899990938 1138764044 1268169049 1799981876 1992837077 2536338098 3985674154 5072676196 7971348308 13949859539 27899719078 55799438156