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57552837357 = 31719618311731
BaseRepresentation
bin110101100110011010…
…101001101011101101
312111112221211001200210
4311212122221223231
51420332011243412
642234525013033
74105133021511
oct654632515355
9174487731623
1057552837357
11224540925a4
12b1a23b4179
13557276a762
142add878141
15176c9b283c
hexd666a9aed

57552837357 has 64 divisors (see below), whose sum is σ = 87984368640. Its totient is φ = 33241881600.

The previous prime is 57552837341. The next prime is 57552837359. The reversal of 57552837357 is 75373825575.

It is not a de Polignac number, because 57552837357 - 24 = 57552837341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 57552837297 and 57552837306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57552837359) 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, 4900182 + ... + 4911912.

It is an arithmetic number, because the mean of its divisors is an integer number (1374755760).

Almost surely, 257552837357 is an apocalyptic number.

57552837357 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

57552837357 is a deficient number, since it is larger than the sum of its proper divisors (30431531283).

57552837357 is a wasteful number, since it uses less digits than its factorization.

57552837357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11914.

The product of its digits is 30870000, while the sum is 57.

The spelling of 57552837357 in words is "fifty-seven billion, five hundred fifty-two million, eight hundred thirty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 17 19 51 57 61 83 183 249 323 969 1037 1159 1411 1577 3111 3477 4233 4731 5063 11731 15189 19703 26809 35193 59109 80427 86071 96197 199427 222889 258213 288591 598281 668667 715591 973673 1635349 2146773 2921019 3789113 4906047 11367339 12165047 13596229 16552441 18499787 36495141 40788687 49657323 55499361 59394053 178182159 231135893 314496379 693407679 943489137 1009698901 1128487007 3029096703 3385461021 19184279119 57552837357