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96002064964 = 221321727012
BaseRepresentation
bin101100101101000101…
…0110100001001000100
3100011210112211012101201
41121122022310021010
53033103012034324
6112034105232244
76636010042141
oct1313212641104
9304715735351
1096002064964
1137794732363
1216732a92684
13908c461c00
14490a0c73c8
15276d271444
hex165a2b4244

96002064964 has 81 divisors (see below), whose sum is σ = 193527870501. Its totient is φ = 41642764800.

The previous prime is 96002064931. The next prime is 96002064967. The reversal of 96002064964 is 46946020069.

The square root of 96002064964 is 309842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 20090794564 + 75911270400 = 141742^2 + 275520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96002064967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 136949814 + ... + 136950514.

Almost surely, 296002064964 is an apocalyptic number.

96002064964 is the 309842-nd square number.

It is an amenable number.

96002064964 is an abundant number, since it is smaller than the sum of its proper divisors (97525805537).

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

96002064964 is a wasteful number, since it uses less digits than its factorization.

96002064964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 96002064964 in words is "ninety-six billion, two million, sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 442 578 676 701 884 1156 1402 2804 2873 3757 5746 7514 9113 11492 11917 15028 18226 23834 36452 47668 48841 97682 118469 154921 195364 202589 236938 309842 405178 473876 491401 619684 810356 982802 1965604 2013973 2633657 4027946 5267314 6388213 8055892 8353817 10534628 12776426 16707634 25552852 33415268 34237541 68475082 83046769 108599621 136950164 142014889 166093538 217199242 284029778 332187076 434398484 568059556 1411795073 1846193557 2823590146 3692387114 5647180292 7384774228 24000516241 48001032482 96002064964