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56613540494809 = 2324127921012
BaseRepresentation
bin11001101111101010111011…
…11110000111110111011001
321102110012102222101021111001
430313311131332013313121
524410024012331313214
6320223522414305001
714632123211200504
oct1467653576076731
9242405388337431
1056613540494809
1117047738774211
1264241001b8161
132578831a74b7c
14dda177b0013b
156829ac57dc74
hex337d5df87dd9

56613540494809 has 81 divisors (see below), whose sum is σ = 62052587966397. Its totient is φ = 51646088208000.

The previous prime is 56613540494767. The next prime is 56613540494831. The reversal of 56613540494809 is 90849404531665.

The square root of 56613540494809 is 7524197.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27339630409 + 56586200864400 = 165347^2 + 7522380^2 .

It is not a de Polignac number, because 56613540494809 - 29 = 56613540494297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56613540294809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 560530103859 + ... + 560530103959.

Almost surely, 256613540494809 is an apocalyptic number.

56613540494809 is the 7524197-th square number.

56613540494809 is the 3762099-th centered octagonal number.

It is an amenable number.

56613540494809 is a deficient number, since it is larger than the sum of its proper divisors (5439047471588).

56613540494809 is an frugal number, since it uses more digits than its factorization.

56613540494809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 64.

The spelling of 56613540494809 in words is "fifty-six trillion, six hundred thirteen billion, five hundred forty million, four hundred ninety-four thousand, eight hundred nine".

Divisors: 1 23 41 79 101 529 943 1681 1817 2323 3239 4141 6241 7979 10201 21689 38663 41791 53429 74497 95243 132799 143543 169781 183517 234623 255881 327139 418241 630341 805879 889249 1713431 2190589 3054377 3301489 3904963 4220891 5396329 5885263 7524197 9619543 10491121 13412699 14497843 17147881 18535217 25843981 33041039 63664441 70250671 89814149 135361049 173056531 221249489 241295783 308492077 333450389 394401263 426309991 594411563 759943897 1059603221 1354682599 1464282143 2610242081 5549803009 7095317771 9071229049 13671465949 17478709631 24370874083 31157699777 33678489289 60035567863 107019925321 560530103909 716627094871 1380818060849 2461458282383 56613540494809