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12928141362906 = 2337113498908943
BaseRepresentation
bin1011110000100001000101…
…0001100000011011011010
31200202220210101210112122000
42330020101101200123122
53143303313142103111
643255034532341430
72503012252304610
oct274102121403332
950686711715560
1012928141362906
114134880844110
121549688474876
1372a170460203
14329a226316b0
15176455cd8c56
hexbc2114606da

12928141362906 has 128 divisors (see below), whose sum is σ = 35920862208000. Its totient is φ = 3348336761280.

The previous prime is 12928141362889. The next prime is 12928141362919. The reversal of 12928141362906 is 60926314182921.

It is a happy number.

12928141362906 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 1 + 4 + 1 + 3 + 629 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3003330 + ... + 5905613.

It is an arithmetic number, because the mean of its divisors is an integer number (280631736000).

Almost surely, 212928141362906 is an apocalyptic number.

12928141362906 is an abundant number, since it is smaller than the sum of its proper divisors (22992720845094).

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

12928141362906 is a wasteful number, since it uses less digits than its factorization.

12928141362906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8909321 (or 8909315 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12928141362906 in words is "twelve trillion, nine hundred twenty-eight billion, one hundred forty-one million, three hundred sixty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 349 378 462 594 693 698 1047 1386 2079 2094 2443 3141 3839 4158 4886 6282 7329 7678 9423 11517 14658 18846 21987 23034 26873 34551 43974 53746 65961 69102 80619 103653 131922 161238 207306 241857 483714 725571 1451142 8908943 17817886 26726829 53453658 62362601 80180487 97998373 124725202 160360974 187087803 195996746 240541461 293995119 374175606 481082922 561263409 587990238 685988611 881985357 1122526818 1371977222 1683790227 1763970714 2057965833 2645956071 3109221107 3367580454 4115931666 5291912142 6173897499 6218442214 9327663321 12347794998 18521692497 18655326642 21764547749 27982989963 34201432177 37043384994 43529095498 55965979926 65293643247 68402864354 83948969889 102604296531 130587286494 167897939778 195880929741 205208593062 239410025239 307812889593 391761859482 478820050478 587642789223 615625779186 718230075717 923438668779 1175285578446 1436460151434 1846877337558 2154690227151 4309380454302 6464070681453 12928141362906