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55879205031 = 321329313471531
BaseRepresentation
bin110100000010101010…
…010000000010100111
312100020022120201202100
4310002222100002213
51403420034030111
641400501143143
74015511256126
oct640252200247
9170208521670
1055879205031
1121775399891
12a9b59baab3
135366ac3a80
1429c1497abd
1516c0abb756
hexd02a900a7

55879205031 has 96 divisors (see below), whose sum is σ = 93149521920. Its totient is φ = 32016902400.

The previous prime is 55879205021. The next prime is 55879205051. The reversal of 55879205031 is 13050297855.

55879205031 is a `hidden beast` number, since 5 + 58 + 7 + 92 + 0 + 503 + 1 = 666.

It is not a de Polignac number, because 55879205031 - 26 = 55879204967 is a prime.

It is a super-2 number, since 2×558792050312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55879205021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36497736 + ... + 36499266.

It is an arithmetic number, because the mean of its divisors is an integer number (970307520).

Almost surely, 255879205031 is an apocalyptic number.

55879205031 is a deficient number, since it is larger than the sum of its proper divisors (37270316889).

55879205031 is a wasteful number, since it uses less digits than its factorization.

55879205031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 55879205031 in words is "fifty-five billion, eight hundred seventy-nine million, two hundred five thousand, thirty-one".

Divisors: 1 3 9 13 29 31 39 87 93 117 261 279 347 377 403 899 1041 1131 1209 1531 2697 3123 3393 3627 4511 4593 8091 10063 10757 11687 13533 13779 19903 30189 32271 35061 40599 44399 47461 59709 90567 96813 105183 130819 133197 139841 142383 179127 311953 392457 399591 419523 427149 531257 577187 616993 935859 1177371 1258569 1376369 1593771 1731561 1850979 2807577 4055389 4129107 4781313 5194683 5552937 6906341 12166167 12387321 15406453 16468967 17892797 20719023 36498501 46219359 49406901 53678391 62157069 138658077 148220703 161035173 200283889 214096571 477600043 600851667 642289713 1432800129 1802555001 1926869139 4298400387 6208800559 18626401677 55879205031