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55412551012 = 22721382126489
BaseRepresentation
bin110011100110110110…
…000110110101100100
312022000210111020210011
4303212312012311210
51401441103113022
641242311140004
74001113624600
oct634666066544
9168023436704
1055412551012
1121555a38805
12a8a5674604
1352c1215930
142979502500
151694b3d977
hexce6d86d64

55412551012 has 72 divisors (see below), whose sum is σ = 121633921080. Its totient is φ = 21893921280.

The previous prime is 55412550971. The next prime is 55412551013. The reversal of 55412551012 is 21015521455.

It can be written as a sum of positive squares in 4 ways, for example, as 218566656 + 55193984356 = 14784^2 + 234934^2 .

It is not an unprimeable number, because it can be changed into a prime (55412551013) 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 23 ways as a sum of consecutive naturals, for example, 2078664 + ... + 2105152.

It is an arithmetic number, because the mean of its divisors is an integer number (1689360015).

Almost surely, 255412551012 is an apocalyptic number.

55412551012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55412551012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60816960540).

55412551012 is an abundant number, since it is smaller than the sum of its proper divisors (66221370068).

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

55412551012 is a wasteful number, since it uses less digits than its factorization.

55412551012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27341 (or 27332 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

The spelling of 55412551012 in words is "fifty-five billion, four hundred twelve million, five hundred fifty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 821 1274 1642 2548 3284 5747 10673 11494 21346 22988 26489 40229 42692 52978 74711 80458 105956 149422 160916 185423 298844 344357 370846 522977 688714 741692 1045954 1297961 1377428 2091908 2410499 2595922 4820998 5191844 9641996 16873493 21747469 33746986 43494938 67493972 86989876 152232283 282717097 304464566 565434194 608929132 1065625981 1130868388 1979019679 2131251962 3958039358 4262503924 7916078716 13853137753 27706275506 55412551012