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196228946304 = 27356308801
BaseRepresentation
bin1011011011000000101…
…0000001100110000000
3200202111112101022100000
42312300022001212000
511203334102240204
6230051335200000
720114510344236
oct2666012014600
9622445338300
10196228946304
11762471407a6
1232044816000
1315672c7b261
1496d7326956
155187375039
hex2db0281980

196228946304 has 96 divisors (see below), whose sum is σ = 585583001640. Its totient is φ = 65409638400.

The previous prime is 196228946299. The next prime is 196228946311. The reversal of 196228946304 is 403649822691.

196228946304 is a `hidden beast` number, since 1 + 9 + 622 + 8 + 9 + 4 + 6 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3123297 + ... + 3185504.

Almost surely, 2196228946304 is an apocalyptic number.

It is an amenable number.

196228946304 is an abundant number, since it is smaller than the sum of its proper divisors (389354055336).

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

196228946304 is an frugal number, since it uses more digits than its factorization.

196228946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308830 (or 6308806 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 196228946304 in words is "one hundred ninety-six billion, two hundred twenty-eight million, nine hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 6308801 12617602 18926403 25235204 37852806 50470408 56779209 75705612 100940816 113558418 151411224 170337627 201881632 227116836 302822448 340675254 403763264 454233672 511012881 605644896 681350508 807526528 908467344 1022025762 1211289792 1362701016 1533038643 1816934688 2044051524 2422579584 2725402032 3066077286 3633869376 4088103048 5450804064 6132154572 7267738752 8176206096 10901608128 12264309144 16352412192 21803216256 24528618288 32704824384 49057236576 65409648768 98114473152 196228946304