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212104484406912 = 2735330733947233
BaseRepresentation
bin110000001110100001101100…
…011100101100011010000000
31000210222222202012112222102110
4300032201230130230122000
5210300104441002010122
62031035242135015320
762451020565203256
oct6016415434543200
91023888665488373
10212104484406912
1161646008993569
121b95732a80a540
1391474a05653c6
143a53caa0705d6
15197c4cec5790c
hexc0e86c72c680

212104484406912 has 128 divisors (see below), whose sum is σ = 575902603805760. Its totient is φ = 69141549514752.

The previous prime is 212104484406887. The next prime is 212104484406931. The reversal of 212104484406912 is 219604484401212.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10725553 + ... + 23221680.

Almost surely, 2212104484406912 is an apocalyptic number.

It is an amenable number.

212104484406912 is an abundant number, since it is smaller than the sum of its proper divisors (363798119398848).

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

212104484406912 is a wasteful number, since it uses less digits than its factorization.

212104484406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33947610 (or 33947598 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 212104484406912 in words is "two hundred twelve trillion, one hundred four billion, four hundred eighty-four million, four hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 307 318 384 424 614 636 848 921 1228 1272 1696 1842 2456 2544 3392 3684 4912 5088 6784 7368 9824 10176 14736 16271 19648 20352 29472 32542 39296 48813 58944 65084 97626 117888 130168 195252 260336 390504 520672 781008 1041344 1562016 2082688 3124032 6248064 33947233 67894466 101841699 135788932 203683398 271577864 407366796 543155728 814733592 1086311456 1629467184 1799203349 2172622912 3258934368 3598406698 4345245824 5397610047 6517868736 7196813396 10421800531 10795220094 13035737472 14393626792 20843601062 21590440188 28787253584 31265401593 41687202124 43180880376 57574507168 62530803186 83374404248 86361760752 115149014336 125061606372 166748808496 172723521504 230298028672 250123212744 333497616992 345447043008 500246425488 552355428143 666995233984 690894086016 1000492850976 1104710856286 1333990467968 1657066284429 2000985701952 2209421712572 3314132568858 4001971403904 4418843425144 6628265137716 8837686850288 13256530275432 17675373700576 26513060550864 35350747401152 53026121101728 70701494802304 106052242203456 212104484406912