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85947712704 = 2632721316397
BaseRepresentation
bin101000000001011100…
…0100000010011000000
322012211211210011222200
41100002320200103000
52402010103301304
6103252301433200
76131602334610
oct1200270402300
9265754704880
1085947712704
11334a5274727
12147a786b800
138149424349
144234a56a40
152380728e39
hex1402e204c0

85947712704 has 84 divisors (see below), whose sum is σ = 281546984784. Its totient is φ = 24556488192.

The previous prime is 85947712673. The next prime is 85947712709. The reversal of 85947712704 is 40721774958.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (85947712709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10654167 + ... + 10662230.

Almost surely, 285947712704 is an apocalyptic number.

85947712704 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85947712704 is an abundant number, since it is smaller than the sum of its proper divisors (195599272080).

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

85947712704 is a wasteful number, since it uses less digits than its factorization.

85947712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21316422 (or 21316409 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 85947712704 in words is "eighty-five billion, nine hundred forty-seven million, seven hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 21316397 42632794 63949191 85265588 127898382 149214779 170531176 191847573 255796764 298429558 341062352 383695146 447644337 511593528 596859116 682124704 767390292 895288674 1023187056 1193718232 1342933011 1364249408 1534780584 1790577348 2046374112 2387436464 2685866022 3069561168 3581154696 4092748224 4774872928 5371732044 6139122336 7162309392 9549745856 10743464088 12278244672 14324618784 21486928176 28649237568 42973856352 85947712704