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96683816960 = 211526773527
BaseRepresentation
bin101101000001011001…
…1011111100000000000
3100020120001122210022122
41122002303133200000
53041002024120320
6112225501423412
76661625612243
oct1320263374000
9306501583278
1096683816960
1138004548765
12168a326ab68
13916a782463
14497287125a
1527ad03bd25
hex1682cdf800

96683816960 has 96 divisors (see below), whose sum is σ = 232136966880. Its totient is φ = 38648119296.

The previous prime is 96683816947. The next prime is 96683817007. The reversal of 96683816960 is 6961838669.

It is a junction number, because it is equal to n+sod(n) for n = 96683816893 and 96683816902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27410717 + ... + 27414243.

It is an arithmetic number, because the mean of its divisors is an integer number (2418093405).

Almost surely, 296683816960 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 96683816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116068483440).

96683816960 is an abundant number, since it is smaller than the sum of its proper divisors (135453149920).

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

96683816960 is a wasteful number, since it uses less digits than its factorization.

96683816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 62.

The spelling of 96683816960 in words is "ninety-six billion, six hundred eighty-three million, eight hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 2677 3527 5120 5354 7054 10240 10708 13385 14108 17635 21416 26770 28216 35270 42832 53540 56432 70540 85664 107080 112864 141080 171328 214160 225728 282160 342656 428320 451456 564320 685312 856640 902912 1128640 1370624 1713280 1805824 2257280 2741248 3426560 3611648 4514560 5482496 6853120 7223296 9029120 9441779 13706240 18058240 18883558 27412480 36116480 37767116 47208895 75534232 94417790 151068464 188835580 302136928 377671160 604273856 755342320 1208547712 1510684640 2417095424 3021369280 4834190848 6042738560 9668381696 12085477120 19336763392 24170954240 48341908480 96683816960