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55456113924 = 223223434493469
BaseRepresentation
bin110011101001011100…
…010010010100000100
312022010211110110212100
4303221130102110010
51402033231121144
641250504552100
74002153122301
oct635134222404
9168124413770
1055456113924
1121578592212
12a8b8182630
1352ca2590c3
1429812020a8
151698896269
hexce9712504

55456113924 has 144 divisors (see below), whose sum is σ = 150053904000. Its totient is φ = 17227026432.

The previous prime is 55456113913. The next prime is 55456113949. The reversal of 55456113924 is 42931165455.

It is a happy number.

55456113924 is a `hidden beast` number, since 5 + 5 + 4 + 5 + 611 + 3 + 9 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55456113924.

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, 15984462 + ... + 15987930.

It is an arithmetic number, because the mean of its divisors is an integer number (1042041000).

Almost surely, 255456113924 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 55456113924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75026952000).

55456113924 is an abundant number, since it is smaller than the sum of its proper divisors (94597790076).

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

55456113924 is a wasteful number, since it uses less digits than its factorization.

55456113924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3989 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 55456113924 in words is "fifty-five billion, four hundred fifty-six million, one hundred thirteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 449 516 774 828 898 989 1347 1548 1796 1978 2694 2967 3469 3956 4041 5388 5934 6938 8082 8901 10327 10407 11868 13876 16164 17802 19307 20654 20814 30981 31221 35604 38614 41308 41628 57921 61962 62442 77228 79787 92943 115842 123924 124884 149167 159574 173763 185886 231684 239361 298334 319148 347526 371772 444061 447501 478722 596668 695052 718083 888122 895002 957444 1332183 1342503 1436166 1557581 1776244 1790004 2664366 2685006 2872332 3115162 3430841 3996549 4672743 5328732 5370012 6230324 6861682 7993098 9345486 10292523 13723364 14018229 15986196 18690972 20585046 28036458 30877569 35824363 41170092 56072916 61755138 66975983 71648726 107473089 123510276 133951966 143297452 200927949 214946178 267903932 322419267 401855898 429892356 602783847 644838534 803711796 1205567694 1289677068 1540447609 2411135388 3080895218 4621342827 6161790436 9242685654 13864028481 18485371308 27728056962 55456113924