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230616004450032 = 243237414911043209
BaseRepresentation
bin110100011011111001111001…
…000001100101011011110000
31010020112200012212101011122100
4310123321321001211123300
5220211403034114400112
62134251310241540400
766401312401315155
oct6433717101453360
91106480185334570
10230616004450032
1167532775402103
1221a46b15344700
139b8acc400c1b6
1440d3c34a2422c
151b9dcb8caa2dc
hexd1be790656f0

230616004450032 has 120 divisors (see below), whose sum is σ = 662864488766480. Its totient is φ = 74792505461760.

The previous prime is 230616004449997. The next prime is 230616004450057. The reversal of 230616004450032 is 230054400616032.

230616004450032 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 1 + 600 + 4 + 45 + 0 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220542444 + ... + 221585652.

Almost surely, 2230616004450032 is an apocalyptic number.

It is an amenable number.

230616004450032 is an abundant number, since it is smaller than the sum of its proper divisors (432248484316448).

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

230616004450032 is a wasteful number, since it uses less digits than its factorization.

230616004450032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084751 (or 1084742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 230616004450032 in words is "two hundred thirty trillion, six hundred sixteen billion, four million, four hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 41491 82982 124473 165964 248946 331928 373419 497892 663856 746838 995784 1043209 1493676 1535167 1991568 2086418 2987352 3070334 3129627 4172836 4605501 5974704 6140668 6259254 8345672 9211002 9388881 12281336 12518508 13816503 16691344 18422004 18777762 24562672 25037016 27633006 36844008 37555524 38598733 50074032 55266012 73688016 75111048 77197466 110532024 115796199 150222096 154394932 221064048 231592398 308789864 347388597 463184796 617579728 694777194 926369592 1389554388 1852739184 2779108776 5558217552 43283784619 86567569238 129851353857 173135138476 259702707714 346270276952 389554061571 519405415428 692540553904 779108123142 1038810830856 1558216246284 1601500030903 2077621661712 3116432492568 3203000061806 4804500092709 6232864985136 6406000123612 9609000185418 12812000247224 14413500278127 19218000370836 25624000494448 28827000556254 38436000741672 57654001112508 76872001483344 115308002225016 230616004450032