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55814005137 = 311109113353389
BaseRepresentation
bin110011111110110001…
…100010000110010001
312100001202220020022110
4303332301202012101
51403301341131022
641350211455533
74014060134022
oct637661420621
9170052806273
1055814005137
1121741607180
12a997bb75a9
135356446057
1429b6964c49
1516b9edd00c
hexcfec62191

55814005137 has 64 divisors (see below), whose sum is σ = 83101075200. Its totient is φ = 33040465920.

The previous prime is 55814005129. The next prime is 55814005153. The reversal of 55814005137 is 73150041855.

55814005137 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 55814005137 - 23 = 55814005129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55814005095 and 55814005104.

It is not an unprimeable number, because it can be changed into a prime (55814005337) 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, 143480539 + ... + 143480927.

It is an arithmetic number, because the mean of its divisors is an integer number (1298454300).

Almost surely, 255814005137 is an apocalyptic number.

It is an amenable number.

55814005137 is a deficient number, since it is larger than the sum of its proper divisors (27287070063).

55814005137 is a wasteful number, since it uses less digits than its factorization.

55814005137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 55814005137 in words is "fifty-five billion, eight hundred fourteen million, five thousand, one hundred thirty-seven".

Divisors: 1 3 11 33 109 113 327 339 353 389 1059 1167 1199 1243 3597 3729 3883 4279 11649 12317 12837 36951 38477 39889 42401 43957 115431 119667 127203 131871 135487 137317 406461 411951 423247 438779 466411 483527 1269741 1316337 1399233 1450581 1510487 4347901 4531461 4791313 13043703 14373939 14967553 15516821 44902659 46550463 47826911 52704443 143480733 158113329 164643083 170685031 493929249 512055093 1691333489 5074000467 18604668379 55814005137