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83649923968 = 2713234153309
BaseRepresentation
bin100110111100111101…
…1001000101110000000
321222220201002102102011
41031321323020232000
52332303340031333
6102232300102304
76020631423232
oct1157173105600
9258821072364
1083649923968
1132526223a76
1214266234994
137b71374840
144097802252
152298b429cd
hex1379ec8b80

83649923968 has 128 divisors (see below), whose sum is σ = 191839233600. Its totient is φ = 36027678720.

The previous prime is 83649923941. The next prime is 83649923977. The reversal of 83649923968 is 86932994638.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1542498 + ... + 1595806.

Almost surely, 283649923968 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 83649923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95919616800).

83649923968 is an abundant number, since it is smaller than the sum of its proper divisors (108189309632).

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

83649923968 is a wasteful number, since it uses less digits than its factorization.

83649923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53400 (or 53388 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 67.

The spelling of 83649923968 in words is "eighty-three billion, six hundred forty-nine million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 41 46 52 64 82 92 104 128 164 184 208 299 328 368 416 533 598 656 736 832 943 1066 1196 1312 1472 1664 1886 2132 2392 2624 2944 3772 4264 4784 5248 7544 8528 9568 12259 15088 17056 19136 24518 30176 34112 38272 49036 53309 60352 68224 98072 106618 120704 196144 213236 392288 426472 693017 784576 852944 1226107 1386034 1569152 1705888 2185669 2452214 2772068 3411776 4371338 4904428 5544136 6823552 8742676 9808856 11088272 15939391 17485352 19617712 22176544 28413697 31878782 34970704 39235424 44353088 50270387 56827394 63757564 69941408 78470848 88706176 100540774 113654788 127515128 139882816 156941696 201081548 227309576 255030256 279765632 402163096 454619152 510060512 653515031 804326192 909238304 1020121024 1307030062 1608652384 1818476608 2040242048 2614060124 3217304768 3636953216 5228120248 6434609536 10456240496 20912480992 41824961984 83649923968