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96369730464 = 2537193374189
BaseRepresentation
bin101100111000000010…
…1010110001110100000
3100012202011122112122110
41121300011112032200
53034331122333324
6112134401435320
76651063123210
oct1316005261640
9305664575573
1096369730464
1137963222947
121681603bb40
13911a691a67
144942c72240
152790699329
hex16701563a0

96369730464 has 96 divisors (see below), whose sum is σ = 289262655360. Its totient is φ = 27519593472.

The previous prime is 96369730421. The next prime is 96369730477. The reversal of 96369730464 is 46403796369.

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

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261882 + ... + 1336070.

It is an arithmetic number, because the mean of its divisors is an integer number (3013152660).

Almost surely, 296369730464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96369730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144631327680).

96369730464 is an abundant number, since it is smaller than the sum of its proper divisors (192892924896).

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

96369730464 is a wasteful number, since it uses less digits than its factorization.

96369730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76142 (or 76134 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 96369730464 in words is "ninety-six billion, three hundred sixty-nine million, seven hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1933 3866 5799 7732 11598 13531 15464 23196 27062 30928 40593 46392 54124 61856 74189 81186 92784 108248 148378 162372 185568 216496 222567 296756 324744 432992 445134 519323 593512 649488 890268 1038646 1187024 1298976 1557969 1780536 2077292 2374048 3115938 3561072 4154584 6231876 7122144 8309168 12463752 16618336 24927504 49855008 143407337 286814674 430222011 573629348 860444022 1003851359 1147258696 1720888044 2007702718 2294517392 3011554077 3441776088 4015405436 4589034784 6023108154 6883552176 8030810872 12046216308 13767104352 16061621744 24092432616 32123243488 48184865232 96369730464