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131227233554752 = 2689821268310459
BaseRepresentation
bin11101110101100110111000…
…101001000001000101000000
3122012122012102112110022200021
4131311212320221001011000
5114200011333242223002
61143032543040103224
736432566115620356
oct3565467051010500
9565565375408607
10131227233554752
11388a4180289065
1212874873004b14
13582b8a1055a1a
1424596095637d6
1510287c50a0737
hex7759b8a41140

131227233554752 has 112 divisors (see below), whose sum is σ = 263774157134400. Its totient is φ = 64767019806720.

The previous prime is 131227233554743. The next prime is 131227233554771. The reversal of 131227233554752 is 257455332722131.

It is a self number, because there is not a number n which added to its sum of digits gives 131227233554752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12546818899 + ... + 12546829357.

Almost surely, 2131227233554752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131227233554752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131887078567200).

131227233554752 is an abundant number, since it is smaller than the sum of its proper divisors (132546923579648).

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

131227233554752 is a wasteful number, since it uses less digits than its factorization.

131227233554752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14054 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 52.

The spelling of 131227233554752 in words is "one hundred thirty-one trillion, two hundred twenty-seven billion, two hundred thirty-three million, five hundred fifty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 821 1424 1642 2683 2848 3284 5366 5696 6568 10459 10732 13136 20918 21464 26272 41836 42928 52544 73069 83672 85856 146138 167344 171712 238787 292276 334688 477574 584552 669376 930851 955148 1169104 1861702 1910296 2202743 2338208 3723404 3820592 4405486 4676416 7446808 7641184 8586839 8810972 14893616 15282368 17173678 17621944 28061497 29787232 34347356 35243888 56122994 59574464 68694712 70487776 112245988 137389424 140975552 196044127 224491976 274778848 392088254 448983952 549557696 764228671 784176508 897967904 1528457342 1568353016 1795935808 2497473233 3056914684 3136706032 4994946466 6113829368 6273412064 9989892932 12227658736 12546824128 19979785864 23038489037 24455317472 39959571728 46076978074 48910634944 79919143456 92153956148 159838286912 184307912296 368615824592 737231649184 1474463298368 2050425524293 4100851048586 8201702097172 16403404194344 32806808388688 65613616777376 131227233554752