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10234676768976 = 24321137174629347
BaseRepresentation
bin1001010011101111001001…
…0001011111000011010000
31100020102111012222022122200
42110323302101133003100
52320141104223101401
633433425014403200
72104300555101162
oct224736221370320
940212435868580
1010234676768976
113296558244a80
121193670660500
135931837285ba
1427550a81a932
1512b36289a686
hex94ef245f0d0

10234676768976 has 120 divisors (see below), whose sum is σ = 32091286023264. Its totient is φ = 3017595098880.

The previous prime is 10234676768969. The next prime is 10234676769067. The reversal of 10234676768976 is 67986767643201.

10234676768976 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 467 + 6 + 76 + 8 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87256066 + ... + 87373281.

Almost surely, 210234676768976 is an apocalyptic number.

10234676768976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10234676768976 is an abundant number, since it is smaller than the sum of its proper divisors (21856609254288).

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

10234676768976 is a wasteful number, since it uses less digits than its factorization.

10234676768976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174629409 (or 174629400 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 10234676768976 in words is "ten trillion, two hundred thirty-four billion, six hundred seventy-six million, seven hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 19536 29304 58608 174629347 349258694 523888041 698517388 1047776082 1397034776 1571664123 1920922817 2095552164 2794069552 3143328246 3841845634 4191104328 5762768451 6286656492 6461285839 7683691268 8382208656 11525536902 12573312984 12922571678 15367382536 17288305353 19383857517 23051073804 25146625968 25845143356 30734765072 34576610706 38767715034 46102147608 51690286712 58151572551 69153221412 71074144229 77535430068 92204295216 103380573424 116303145102 138306442824 142148288458 155070860136 213222432687 232606290204 276612885648 284296576916 310141720272 426444865374 465212580408 568593153832 639667298061 852889730748 930425160816 1137186307664 1279334596122 1705779461496 2558669192244 3411558922992 5117338384488 10234676768976