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56037421943055 = 3357411446313639
BaseRepresentation
bin11001011110111001110101…
…01000010000100100001111
321100102010101021200111021000
430233130322220100210033
524321104120004134210
6315103123010311343
714542366361253150
oct1457347250204417
9240363337614230
1056037421943055
1116945378881203
126350517288553
1325363c99a6037
14dba323435927
156729de0d5ac0
hex32f73aa1090f

56037421943055 has 64 divisors (see below), whose sum is σ = 116630731929600. Its totient is φ = 24992299664640.

The previous prime is 56037421943017. The next prime is 56037421943089. The reversal of 56037421943055 is 55034912473065.

56037421943055 is a `hidden beast` number, since 5 + 6 + 0 + 374 + 2 + 194 + 30 + 55 = 666.

56037421943055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56037421943055 - 220 = 56037420894479 is a prime.

It is a super-3 number, since 3×560374219430553 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56037421942992 and 56037421943010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 723118075 + ... + 723195564.

It is an arithmetic number, because the mean of its divisors is an integer number (1822355186400).

Almost surely, 256037421943055 is an apocalyptic number.

56037421943055 is an abundant number, since it is smaller than the sum of its proper divisors (60593309986545).

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

56037421943055 is a wasteful number, since it uses less digits than its factorization.

56037421943055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446313701 (or 1446313695 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 56037421943055 in words is "fifty-six trillion, thirty-seven billion, four hundred twenty-one million, nine hundred forty-three thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 105 123 135 189 205 287 315 369 615 861 945 1107 1435 1845 2583 4305 5535 7749 12915 38745 1446313639 4338940917 7231568195 10124195473 13016822751 21694704585 30372586419 39050468253 50620977365 59298859199 65084113755 91117759257 151862932095 177896577597 195252341265 273353277771 296494295995 415092014393 455588796285 533689732791 889482887985 1245276043179 1366766388855 1601069198373 2075460071965 2668448663955 3735828129537 6226380215895 8005345991865 11207484388611 18679140647685 56037421943055