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56429307504 = 2433515325349
BaseRepresentation
bin110100100011011100…
…101110011001110000
312101122122200211111000
4310203130232121300
51411031400320004
641531231522000
74035241125333
oct644334563160
9171578624430
1056429307504
1121a27966a29
12ab2a089300
135423a6baab
142a3457261a
15170402ec39
hexd2372e670

56429307504 has 80 divisors (see below), whose sum is σ = 162010836000. Its totient is φ = 18805377024.

The previous prime is 56429307479. The next prime is 56429307541. The reversal of 56429307504 is 40570392465.

56429307504 is a `hidden beast` number, since 56 + 4 + 2 + 93 + 0 + 7 + 504 = 666.

56429307504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56429307504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213422 + ... + 2238770.

It is an arithmetic number, because the mean of its divisors is an integer number (2025135450).

Almost surely, 256429307504 is an apocalyptic number.

56429307504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56429307504 is an abundant number, since it is smaller than the sum of its proper divisors (105581528496).

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

56429307504 is a wasteful number, since it uses less digits than its factorization.

56429307504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30519 (or 30507 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 56429307504 its reverse (40570392465), we get a palindrome (96999699969).

The spelling of 56429307504 in words is "fifty-six billion, four hundred twenty-nine million, three hundred seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5153 10306 15459 20612 25349 30918 41224 46377 50698 61836 76047 82448 92754 101396 123672 139131 152094 185508 202792 228141 247344 278262 304188 371016 405584 456282 556524 608376 684423 742032 912564 1113048 1216752 1368846 1825128 2226096 2737692 3650256 5475384 10950768 130623397 261246794 391870191 522493588 783740382 1044987176 1175610573 1567480764 2089974352 2351221146 3134961528 3526831719 4702442292 6269923056 7053663438 9404884584 14107326876 18809769168 28214653752 56429307504