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56687000084 = 221121321136133
BaseRepresentation
bin110100110010110011…
…101111101000010100
312102022121120222020122
4310302303233220110
51412043333000314
642012555051112
74044520356551
oct646263575024
9172277528218
1056687000084
112204a374200
12aba0440a98
135465275a00
142a5a891a28
15171b98328e
hexd32cefa14

56687000084 has 108 divisors (see below), whose sum is σ = 119137749948. Its totient is φ = 23570426880.

The previous prime is 56687000081. The next prime is 56687000087. The reversal of 56687000084 is 48000078665.

It is an interprime number because it is at equal distance from previous prime (56687000081) and next prime (56687000087).

It can be written as a sum of positive squares in 6 ways, for example, as 9154279684 + 47532720400 = 95678^2 + 218020^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 56686999999 and 56687000044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56687000081) 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 35 ways as a sum of consecutive naturals, for example, 9239882 + ... + 9246014.

Almost surely, 256687000084 is an apocalyptic number.

It is an amenable number.

56687000084 is an abundant number, since it is smaller than the sum of its proper divisors (62450749864).

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

56687000084 is a wasteful number, since it uses less digits than its factorization.

With its successor (56687000085) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (6298).

56687000084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 56687000084 in words is "fifty-six billion, six hundred eighty-seven million, eighty-four", and thus it is an aban number.

Divisors: 1 2 4 11 13 22 26 44 52 113 121 143 169 226 242 286 338 452 484 572 676 1243 1469 1573 1859 2486 2938 3146 3718 4972 5876 6133 6292 7436 12266 13673 16159 19097 20449 24532 27346 32318 38194 40898 54692 64636 67463 76388 79729 81796 134926 159458 177749 210067 269852 318916 355498 420134 693029 710996 742093 840268 877019 1036477 1386058 1484186 1754038 2072954 2310737 2772116 2968372 3508076 4145908 4621474 7623319 9009377 9242948 9647209 11401247 15246638 18018754 19294418 22802494 30493276 36037508 38588836 45604988 83856509 99103147 117121901 125413717 167713018 198206294 234243802 250827434 335426036 396412588 468487604 501654868 1090134617 1288340911 2180269234 2576681822 4360538468 5153363644 14171750021 28343500042 56687000084