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96211364256 = 2532747723891
BaseRepresentation
bin101100110011010100…
…1001110100110100000
3100012100010122201001100
41121212221032212200
53034020102124011
6112110543234400
76644131050150
oct1314651164640
9305303581040
1096211364256
1137891896a87
1216790ba8a00
1390c3923b47
144929c0a760
152781815d56
hex1666a4e9a0

96211364256 has 72 divisors (see below), whose sum is σ = 312686940384. Its totient is φ = 27488960640.

The previous prime is 96211364233. The next prime is 96211364269. The reversal of 96211364256 is 65246311269.

96211364256 is a `hidden beast` number, since 9 + 6 + 211 + 3 + 6 + 425 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×962113642562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23859930 + ... + 23863961.

It is an arithmetic number, because the mean of its divisors is an integer number (4342874172).

Almost surely, 296211364256 is an apocalyptic number.

96211364256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96211364256 is an abundant number, since it is smaller than the sum of its proper divisors (216475576128).

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

96211364256 is a wasteful number, since it uses less digits than its factorization.

96211364256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47723914 (or 47723903 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 96211364256 in words is "ninety-six billion, two hundred eleven million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 47723891 95447782 143171673 190895564 286343346 334067237 381791128 429515019 572686692 668134474 763582256 859030038 1002201711 1145373384 1336268948 1527164512 1718060076 2004403422 2290746768 2672537896 3006605133 3436120152 4008806844 4581493536 5345075792 6013210266 6872240304 8017613688 10690151584 12026420532 13744480608 16035227376 24052841064 32070454752 48105682128 96211364256