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54705570504 = 233137912491777
BaseRepresentation
bin110010111100101101…
…001100001011001000
312020012112011220211220
4302330231030023020
51344014111224004
641044214122040
73644440451124
oct627455141310
9166175156756
1054705570504
11212229608a2
12a728950320
13520a901180
14290d66c584
151652a3cdd9
hexcbcb4c2c8

54705570504 has 128 divisors (see below), whose sum is σ = 149352000000. Its totient is φ = 16596762624.

The previous prime is 54705570499. The next prime is 54705570539. The reversal of 54705570504 is 40507550745.

It is a happy number.

It is a super-2 number, since 2×547055705042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30784464 + ... + 30786240.

It is an arithmetic number, because the mean of its divisors is an integer number (1166812500).

Almost surely, 254705570504 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 54705570504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676000000).

54705570504 is an abundant number, since it is smaller than the sum of its proper divisors (94646429496).

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

54705570504 is a wasteful number, since it uses less digits than its factorization.

54705570504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 54705570504 in words is "fifty-four billion, seven hundred five million, five hundred seventy thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1249 1777 1896 2054 2498 3081 3554 3747 4108 4996 5331 6162 7108 7494 8216 9992 10662 12324 14216 14988 16237 21324 23101 24648 29976 32474 42648 46202 48711 64948 69303 92404 97422 98671 129896 138606 140383 184808 194844 197342 277212 280766 296013 389688 394684 421149 554424 561532 592026 789368 842298 1123064 1184052 1282723 1684596 1824979 2219473 2368104 2565446 3369192 3649958 3848169 4438946 5130892 5474937 6658419 7299916 7696338 8877892 10261784 10949874 13316838 14599832 15392676 17755784 21899748 26633676 28853149 30785352 43799496 53267352 57706298 86559447 115412596 173118894 175338367 230825192 346237788 350676734 526015101 692475576 701353468 1052030202 1402706936 2104060404 2279398771 4208120808 4558797542 6838196313 9117595084 13676392626 18235190168 27352785252 54705570504