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56319510432 = 2534789140249
BaseRepresentation
bin110100011100111001…
…111000011110100000
312101101000002120012210
4310130321320132200
51410320243313212
641512310322120
74032435640263
oct643471703640
9171330076183
1056319510432
1121980993849
12aab9359340
1354070a7c03
142a23b50cda
1516e959253c
hexd1ce787a0

56319510432 has 96 divisors (see below), whose sum is σ = 152681760000. Its totient is φ = 18167164928.

The previous prime is 56319510427. The next prime is 56319510449. The reversal of 56319510432 is 23401591365.

56319510432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 331444 + ... + 471692.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435000).

Almost surely, 256319510432 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 56319510432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340880000).

56319510432 is an abundant number, since it is smaller than the sum of its proper divisors (96362249568).

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

56319510432 is a wasteful number, since it uses less digits than its factorization.

56319510432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140398 (or 140390 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 56319510432 in words is "fifty-six billion, three hundred nineteen million, five hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 89 94 96 141 178 188 267 282 356 376 534 564 712 752 1068 1128 1424 1504 2136 2256 2848 4183 4272 4512 8366 8544 12549 16732 25098 33464 50196 66928 100392 133856 140249 200784 280498 401568 420747 560996 841494 1121992 1682988 2243984 3365976 4487968 6591703 6731952 12482161 13183406 13463904 19775109 24964322 26366812 37446483 39550218 49928644 52733624 74892966 79100436 99857288 105467248 149785932 158200872 199714576 210934496 299571864 316401744 399429152 586661567 599143728 632803488 1173323134 1198287456 1759984701 2346646268 3519969402 4693292536 7039938804 9386585072 14079877608 18773170144 28159755216 56319510432