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56141834916312 = 23321957177178477
BaseRepresentation
bin11001100001111100010100…
…01000001001000111011000
321100210002220000010002202200
430300332022020021013120
524324311434214310222
6315223111454530200
714553054002011665
oct1460761210110730
9240702800102680
1056141834916312
1116985689217442
1263687b6b06960
1325431c983b752
14dc13ca5caa6c
156755a096ceac
hex330f8a2091d8

56141834916312 has 96 divisors (see below), whose sum is σ = 160081495095600. Its totient is φ = 17725896928512.

The previous prime is 56141834916311. The next prime is 56141834916337. The reversal of 56141834916312 is 21361943814165.

56141834916312 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 1 + 83 + 491 + 63 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56141834916311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4231618 + ... + 11410094.

Almost surely, 256141834916312 is an apocalyptic number.

It is an amenable number.

56141834916312 is an abundant number, since it is smaller than the sum of its proper divisors (103939660179288).

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

56141834916312 is a wasteful number, since it uses less digits than its factorization.

56141834916312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184225 (or 7184218 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 56141834916312 in words is "fifty-six trillion, one hundred forty-one billion, eight hundred thirty-four million, nine hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 5717 11434 17151 22868 34302 45736 51453 68604 102906 108623 137208 205812 217246 325869 411624 434492 651738 868984 977607 1303476 1955214 2606952 3910428 7178477 7820856 14356954 21535431 28713908 43070862 57427816 64606293 86141724 129212586 136391063 172283448 258425172 272782126 409173189 516850344 545564252 818346378 1091128504 1227519567 1636692756 2455039134 3273385512 4910078268 9820156536 41039353009 82078706018 123118059027 164157412036 246236118054 328314824072 369354177081 492472236108 738708354162 779747707171 984944472216 1477416708324 1559495414342 2339243121513 2954833416648 3118990828684 4678486243026 6237981657368 7017729364539 9356972486052 14035458729078 18713944972104 28070917458156 56141834916312