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76814960332 = 221123229461719
BaseRepresentation
bin100011110001010000…
…1110100011011001100
321100021100220021221211
41013202201310123030
52224304112212312
655142135104204
75356355250445
oct1074241643314
9240240807854
1076814960332
112a6390516a0
1212a79212064
137322303866
143a09b662cc
151ee8a783a7
hex11e28746cc

76814960332 has 96 divisors (see below), whose sum is σ = 154238515200. Its totient is φ = 33133689600.

The previous prime is 76814960273. The next prime is 76814960347. The reversal of 76814960332 is 23306941867.

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 31 ways as a sum of consecutive naturals, for example, 106835469 + ... + 106836187.

It is an arithmetic number, because the mean of its divisors is an integer number (1606651200).

Almost surely, 276814960332 is an apocalyptic number.

It is an amenable number.

76814960332 is an abundant number, since it is smaller than the sum of its proper divisors (77423554868).

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

76814960332 is a wasteful number, since it uses less digits than its factorization.

76814960332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 76814960332 in words is "seventy-six billion, eight hundred fourteen million, nine hundred sixty thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 23 44 46 92 229 253 458 461 506 719 916 922 1012 1438 1844 2519 2876 5038 5071 5267 7909 10076 10142 10534 10603 15818 16537 20284 21068 21206 31636 33074 42412 57937 66148 105569 115874 116633 164651 181907 211138 231748 233266 329302 331459 363814 422276 466532 658604 662918 727628 1161259 1325836 1811161 2322518 2428087 3622322 3646049 3786973 4645036 4856174 7244644 7292098 7573946 7623557 9712348 14584196 15147892 15247114 26708957 30494228 41656703 53417914 75904111 83313406 83859127 106835828 151808222 166626812 167718254 303616444 335436508 834945221 1669890442 1745794553 3339780884 3491589106 6983178212 19203740083 38407480166 76814960332