Search a number
-
+
96102500832 = 25321331828013
BaseRepresentation
bin101100110000000100…
…1111100100111100000
3100012001112210212111200
41121200021330213200
53033304220011312
6112052054041200
76641336531112
oct1314011744740
9305045725450
1096102500832
11378363a1308
1216760649200
1390a71c8c10
14491958d3b2
152776eb00dc
hex166027c9e0

96102500832 has 144 divisors (see below), whose sum is σ = 303808272768. Its totient is φ = 28616094720.

The previous prime is 96102500803. The next prime is 96102500839. The reversal of 96102500832 is 23800520169.

96102500832 is a `hidden beast` number, since 9 + 610 + 2 + 5 + 0 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96102500839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297943 + ... + 530070.

It is an arithmetic number, because the mean of its divisors is an integer number (2109779672).

Almost surely, 296102500832 is an apocalyptic number.

It is an amenable number.

96102500832 is an abundant number, since it is smaller than the sum of its proper divisors (207705771936).

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

96102500832 is a wasteful number, since it uses less digits than its factorization.

96102500832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828073 (or 828062 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 96102500832 in words is "ninety-six billion, one hundred two million, five hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 828013 1656026 2484039 3312052 4968078 6624104 7452117 9936156 10764169 13248208 14904234 19872312 21528338 25668403 26496416 29808468 32292507 39744624 43056676 51336806 59616936 64585014 77005209 79489248 86113352 96877521 102673612 119233872 129170028 154010418 172226704 193755042 205347224 231015627 238467744 258340056 308020836 333689239 344453408 387510084 410694448 462031254 516680112 616041672 667378478 775020168 821388896 924062508 1001067717 1033360224 1232083344 1334756956 1550040336 1848125016 2002135434 2464166688 2669513912 3003203151 3100080672 3696250032 4004270868 5339027824 6006406302 7392500064 8008541736 10678055648 12012812604 16017083472 24025625208 32034166944 48051250416 96102500832