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56821313142 = 232113713159207
BaseRepresentation
bin110100111010110100…
…000110111001110110
312102122222022210010100
4310322310012321312
51412332224010032
642034153534530
74051041123036
oct647264067166
9172588283110
1056821313142
1122109171630
12b019414446
1354870416a9
142a706558c6
15172866497c
hexd3ad06e76

56821313142 has 96 divisors (see below), whose sum is σ = 138990069504. Its totient is φ = 16625044800.

The previous prime is 56821313117. The next prime is 56821313149. The reversal of 56821313142 is 24131312865.

56821313142 is a `hidden beast` number, since 568 + 21 + 3 + 1 + 31 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56821313097 and 56821313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56821313149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930103 + ... + 989309.

It is an arithmetic number, because the mean of its divisors is an integer number (1447813224).

Almost surely, 256821313142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56821313142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495034752).

56821313142 is an abundant number, since it is smaller than the sum of its proper divisors (82168756362).

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

56821313142 is a wasteful number, since it uses less digits than its factorization.

56821313142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59394 (or 59391 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

It can be divided in two parts, 56821 and 313142, that added together give a palindrome (369963).

The spelling of 56821313142 in words is "fifty-six billion, eight hundred twenty-one million, three hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 131 198 222 262 333 393 407 666 786 814 1179 1221 1441 2358 2442 2882 3663 4323 4847 7326 8646 9694 12969 14541 25938 29082 43623 53317 59207 87246 106634 118414 159951 177621 319902 355242 479853 532863 651277 959706 1065726 1302554 1953831 2190659 3907662 4381318 5861493 6571977 7756117 11722986 13143954 15512234 19715931 23268351 24097249 39431862 46536702 48194498 69805053 72291747 85317287 139610106 144583494 170634574 216875241 255951861 286976329 433750482 511903722 573952658 767855583 860928987 1535711166 1721857974 2582786961 3156739619 5165573922 6313479238 9470218857 18940437714 28410656571 56821313142