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56442065414751 = 3319533453760107
BaseRepresentation
bin11001101010101011100010…
…10000100110101001011111
321101211210211120202122221000
430311111301100212221133
524344221322221233001
6320013043224241343
714613542666104422
oct1465256120465137
9241753746678830
1056442065414751
1116a90a44537615
1263b6a25610253
132565605342463
14dd1b4c1ad9b9
1567d2c34aca86
hex335571426a5f

56442065414751 has 64 divisors (see below), whose sum is σ = 89683636492800. Its totient is φ = 34973429107968.

The previous prime is 56442065414689. The next prime is 56442065414759. The reversal of 56442065414751 is 15741456024465.

56442065414751 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 2 + 0 + 6 + 541 + 47 + 51 = 666.

It is not a de Polignac number, because 56442065414751 - 26 = 56442065414687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56442065414759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938996440 + ... + 939056546.

It is an arithmetic number, because the mean of its divisors is an integer number (1401306820200).

Almost surely, 256442065414751 is an apocalyptic number.

56442065414751 is a deficient number, since it is larger than the sum of its proper divisors (33241571078049).

56442065414751 is a wasteful number, since it uses less digits than its factorization.

56442065414751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94725 (or 94719 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 56442065414751 in words is "fifty-six trillion, four hundred forty-two billion, sixty-five million, four hundred fourteen thousand, seven hundred fifty-one".

Divisors: 1 3 9 19 27 53 57 159 171 477 513 1007 1431 3021 9063 27189 34537 60107 103611 180321 310833 540963 656203 932499 1142033 1622889 1830461 1968609 3185671 3426099 5491383 5905827 9557013 10278297 16474149 17717481 28671039 30834891 34778759 49422447 60527749 86013117 104336277 181583247 313008831 544749741 939026493 1634249223 2075915459 6227746377 18683239131 39442393721 56049717393 110023519327 118327181163 330070557981 354981543489 990211673943 1064944630467 2090446867213 2970635021829 6271340601639 18814021804917 56442065414751