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56121461277054 = 2317191105112792143
BaseRepresentation
bin11001100001010110010111…
…10000111000000101111110
321100201011022010111222210220
430300223023300320011332
524323443223041331204
6315205502101042210
714551433061643545
oct1460531360700576
9240634263458726
1056121461277054
1116977a83897748
12636486b9b6366
132541300921bc4
14dc041684315c
15674cabee91d9
hex330acbc3817e

56121461277054 has 128 divisors (see below), whose sum is σ = 119730685870080. Its totient is φ = 17476046784000.

The previous prime is 56121461277023. The next prime is 56121461277103. The reversal of 56121461277054 is 45077216412165.

It is a happy number.

56121461277054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 56121461276988 and 56121461277006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26188268307 + ... + 26188270449.

It is an arithmetic number, because the mean of its divisors is an integer number (935395983360).

Almost surely, 256121461277054 is an apocalyptic number.

56121461277054 is an abundant number, since it is smaller than the sum of its proper divisors (63609224593026).

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

56121461277054 is a wasteful number, since it uses less digits than its factorization.

56121461277054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 56121461277054 in words is "fifty-six trillion, one hundred twenty-one billion, four hundred sixty-one million, two hundred seventy-seven thousand, fifty-four".

Divisors: 1 2 3 6 17 34 51 102 191 382 573 1051 1146 1279 2102 2143 2558 3153 3247 3837 4286 6306 6429 6494 7674 9741 12858 17867 19482 21743 35734 36431 43486 53601 65229 72862 107202 109293 130458 200741 218586 244289 401482 409313 488578 602223 732867 818626 1204446 1227939 1344229 1465734 2252293 2455878 2688458 2740897 3412597 4032687 4152913 4504586 5481794 6756879 6825194 6958321 8065374 8222691 8305826 10237791 12458739 13513758 13916642 16445382 20475582 20874963 22851893 24917478 38288981 41749926 45703786 46595249 68555679 76577962 93190498 114866943 137111358 139785747 229733886 256747739 279571494 430187963 513495478 523511327 770243217 860375926 1047022654 1290563889 1540486434 1570533981 2581127778 2880682747 3141067962 4364711563 5761365494 7313195371 8642048241 8729423126 8899692559 13094134689 14626390742 17284096482 17799385118 21939586113 26188269378 26699077677 43879172226 48971606699 53398155354 97943213398 146914820097 293829640194 550210404677 1100420809354 1650631214031 3301262428062 9353576879509 18707153759018 28060730638527 56121461277054