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86113812130335 = 325117116211511563
BaseRepresentation
bin10011100101000111101111…
…001011101010101000011111
3102021220101210121222211121200
4103211013233023222220133
542241342041401132320
6503052050020330543
724065342353562553
oct2345075713525037
9367811717884550
1086113812130335
1125490731a68640
1297a9525543a53
133908661412722
141739d05d75863
159e50404ce290
hex4e51ef2eaa1f

86113812130335 has 96 divisors (see below), whose sum is σ = 165228794804736. Its totient is φ = 41138671392000.

The previous prime is 86113812130321. The next prime is 86113812130351. The reversal of 86113812130335 is 53303121831168.

86113812130335 is a `hidden beast` number, since 8 + 61 + 138 + 121 + 3 + 0 + 335 = 666.

It is not a de Polignac number, because 86113812130335 - 211 = 86113812128287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56214264 + ... + 57725826.

It is an arithmetic number, because the mean of its divisors is an integer number (1721133279216).

Almost surely, 286113812130335 is an apocalyptic number.

86113812130335 is a deficient number, since it is larger than the sum of its proper divisors (79114982674401).

86113812130335 is a wasteful number, since it uses less digits than its factorization.

86113812130335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513277 (or 1513274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86113812130335 in words is "eighty-six trillion, one hundred thirteen billion, eight hundred twelve million, one hundred thirty thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 165 213 355 495 639 781 1065 1621 2343 3195 3905 4863 7029 8105 11715 14589 17831 24315 35145 53493 72945 89155 115091 160479 267465 345273 575455 802395 1035819 1266001 1511563 1726365 3798003 4534689 5179095 6330005 7557815 11394009 13604067 16627193 18990015 22673445 49881579 56970045 68020335 83135965 107320973 149644737 249407895 321962919 536604865 748223685 965888757 1180530703 1609814595 2450243623 3541592109 4829443785 5902653515 7350730869 10624776327 12251218115 17707960545 22052192607 26952679853 36753654345 53123881635 80858039559 110260963035 134763399265 173967297233 242574118677 404290197795 521901891699 869836486165 1212870593385 1565705675097 1913640269563 2609509458495 5740920808689 7828528375485 9568201347815 17222762426067 28704604043445 86113812130335