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97133323968 = 2632672516929
BaseRepresentation
bin101101001110110011…
…0001110011011000000
3100021201101111010000100
41122131212032123000
53042412112331333
6112342240122400
710006024426302
oct1323546163300
9307641433010
1097133323968
1138215257a5a
12169a9906400
13920c938935
1449b6441972
1527d772e213
hex169d98e6c0

97133323968 has 84 divisors (see below), whose sum is σ = 282570697240. Its totient is φ = 31894511616.

The previous prime is 97133323939. The next prime is 97133324003. The reversal of 97133323968 is 86932333179.

97133323968 is a `hidden beast` number, since 9 + 71 + 333 + 239 + 6 + 8 = 666.

It is a super-3 number, since 3×971333239683 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219873 + ... + 1297056.

Almost surely, 297133323968 is an apocalyptic number.

It is an amenable number.

97133323968 is an abundant number, since it is smaller than the sum of its proper divisors (185437373272).

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

97133323968 is a wasteful number, since it uses less digits than its factorization.

97133323968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517014 (or 2517001 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 97133323968 in words is "ninety-seven billion, one hundred thirty-three million, three hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2412 3216 4288 4824 6432 9648 12864 19296 38592 2516929 5033858 7550787 10067716 15101574 20135432 22652361 30203148 40270864 45304722 60406296 80541728 90609444 120812592 161083456 168634243 181218888 241625184 337268486 362437776 483250368 505902729 674536972 724875552 1011805458 1349073944 1449751104 1517708187 2023610916 2698147888 3035416374 4047221832 5396295776 6070832748 8094443664 10792591552 12141665496 16188887328 24283330992 32377774656 48566661984 97133323968