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96814277664 = 25313613112653
BaseRepresentation
bin101101000101010010…
…1001010010000100000
3100020220011010212202120
41122022211022100200
53041233423341124
6112250441544240
76665101532166
oct1321245122040
9306804125676
1096814277664
1138071154825
121691aaa5080
13918b7cc840
144985d11236
1527b970bd79
hex168a94a420

96814277664 has 96 divisors (see below), whose sum is σ = 273752789184. Its totient is φ = 29781795840.

The previous prime is 96814277657. The next prime is 96814277671. The reversal of 96814277664 is 46677241869.

It is an interprime number because it is at equal distance from previous prime (96814277657) and next prime (96814277671).

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

It is a junction number, because it is equal to n+sod(n) for n = 96814277598 and 96814277607.

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 15 ways as a sum of consecutive naturals, for example, 7645162 + ... + 7657814.

It is an arithmetic number, because the mean of its divisors is an integer number (2851591554).

Almost surely, 296814277664 is an apocalyptic number.

It is an amenable number.

96814277664 is an abundant number, since it is smaller than the sum of its proper divisors (176938511520).

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

96814277664 is a wasteful number, since it uses less digits than its factorization.

96814277664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18802 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 96814277664 in words is "ninety-six billion, eight hundred fourteen million, two hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 6131 12262 12653 18393 24524 25306 36786 37959 49048 50612 73572 75918 79703 98096 101224 147144 151836 159406 164489 196192 202448 239109 294288 303672 318812 328978 404896 478218 493467 588576 607344 637624 657956 956436 986934 1214688 1275248 1315912 1912872 1973868 2550496 2631824 3825744 3947736 5263648 7651488 7895472 15790944 77575543 155151086 232726629 310302172 465453258 620604344 930906516 1008482059 1241208688 1861813032 2016964118 2482417376 3025446177 3723626064 4033928236 6050892354 7447252128 8067856472 12101784708 16135712944 24203569416 32271425888 48407138832 96814277664