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2125412495856 = 2433132913050229
BaseRepresentation
bin11110111011011100011…
…101001111000111110000
321112012001122120201222000
4132323130131033013300
5234310321044331411
64304222342014000
7306361463062536
oct36733435170760
97465048521860
102125412495856
1174a422a43181
122a3b04417300
1312556bba54c0
1474c28992156
153a44821a956
hex1eedc74f1f0

2125412495856 has 160 divisors (see below), whose sum is σ = 6796559784000. Its totient is φ = 631422231552.

The previous prime is 2125412495819. The next prime is 2125412495879. The reversal of 2125412495856 is 6585942145212.

It is a happy number.

2125412495856 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 4 + 12 + 49 + 585 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6362251 + ... + 6687978.

It is an arithmetic number, because the mean of its divisors is an integer number (42478498650).

Almost surely, 22125412495856 is an apocalyptic number.

2125412495856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2125412495856 is an abundant number, since it is smaller than the sum of its proper divisors (4671147288144).

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

2125412495856 is a wasteful number, since it uses less digits than its factorization.

2125412495856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13050288 (or 13050276 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 2125412495856 in words is "two trillion, one hundred twenty-five billion, four hundred twelve million, four hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 174 208 216 232 234 261 312 348 351 377 432 464 468 522 624 696 702 754 783 936 1044 1131 1392 1404 1508 1566 1872 2088 2262 2808 3016 3132 3393 4176 4524 5616 6032 6264 6786 9048 10179 12528 13572 18096 20358 27144 40716 54288 81432 162864 13050229 26100458 39150687 52200916 78301374 104401832 117452061 156602748 169652977 208803664 234904122 313205496 339305954 352356183 378456641 469808244 508958931 626410992 678611908 704712366 756913282 939616488 1017917862 1135369923 1357223816 1409424732 1513826564 1526876793 1879232976 2035835724 2270739846 2714447632 2818849464 3027653128 3053753586 3406109769 4071671448 4541479692 4580630379 4919936333 5637698928 6055306256 6107507172 6812219538 8143342896 9082959384 9161260758 9839872666 10218329307 12215014344 13624439076 14759808999 18165918768 18322521516 19679745332 20436658614 24430028688 27248878152 29519617998 36645043032 39359490664 40873317228 44279426997 54497756304 59039235996 73290086064 78718981328 81746634456 88558853994 118078471992 132838280991 163493268912 177117707988 236156943984 265676561982 354235415976 531353123964 708470831952 1062706247928 2125412495856