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96976167290440 = 23519539412558503
BaseRepresentation
bin10110000011001100000110…
…000000001100011001001000
3110201100211102211121011110221
4112003030012000030121020
5100202324142311243230
6542130123005315424
726266203554166664
oct2603140600143110
9421324384534427
1096976167290440
11289993a82aa019
12aa6276a265b74
134215a75b90949
1419d39589c98a4
15b3288cad227a
hex58330600c648

96976167290440 has 128 divisors (see below), whose sum is σ = 234262766649600. Its totient is φ = 36017158394880.

The previous prime is 96976167290413. The next prime is 96976167290461. The reversal of 96976167290440 is 4409276167969.

96976167290440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 96976167290440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36624229 + ... + 39182731.

It is an arithmetic number, because the mean of its divisors is an integer number (1830177864450).

Almost surely, 296976167290440 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 96976167290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117131383324800).

96976167290440 is an abundant number, since it is smaller than the sum of its proper divisors (137286599359160).

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

96976167290440 is a wasteful number, since it uses less digits than its factorization.

96976167290440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559527 (or 2559523 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 70.

The spelling of 96976167290440 in words is "ninety-six trillion, nine hundred seventy-six billion, one hundred sixty-seven million, two hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 941 1007 1060 1882 2014 2120 3764 4028 4705 5035 7528 8056 9410 10070 17879 18820 20140 35758 37640 40280 49873 71516 89395 99746 143032 178790 199492 249365 357580 398984 498730 715160 947587 997460 1895174 1994920 2558503 3790348 4737935 5117006 7580696 9475870 10234012 12792515 18951740 20468024 25585030 37903480 48611557 51170060 97223114 102340120 135600659 194446228 243057785 271201318 388892456 486115570 542402636 678003295 972231140 1084805272 1356006590 1944462280 2407551323 2576412521 2712013180 4815102646 5152825042 5424026360 9630205292 10305650084 12037756615 12882062605 19260410584 20611300168 24075513230 25764125210 45743475137 48151026460 51528250420 91486950274 96302052920 103056500840 127600220119 182973900548 228717375685 255200440238 365947801096 457434751370 510400880476 638001100595 914869502740 1020801760952 1276002201190 1829739005480 2424404182261 2552004402380 4848808364522 5104008804760 9697616729044 12122020911305 19395233458088 24244041822610 48488083645220 96976167290440