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12904087635076 = 2211226926072
BaseRepresentation
bin1011101111000111011110…
…0011110100010010000100
31200200121201001110120012111
42323301313203310102010
53142410032413310301
643240020033430404
72501201215062331
oct273616743642204
950617631416174
1012904087635076
114125658074400
121544a94a0b404
13727b08ca1a71
143287bdc0b988
151759e9233551
hexbbc778f4484

12904087635076 has 81 divisors (see below), whose sum is σ = 24955435418277. Its totient is φ = 5834062402080.

The previous prime is 12904087635059. The next prime is 12904087635091. The reversal of 12904087635076 is 67053678040921.

The square root of 12904087635076 is 3592226.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 849025873476 + 12055061761600 = 921426^2 + 3472040^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12904087635076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21258793165 + ... + 21258793771.

It is a 1-persistent number, because it is pandigital, but 2⋅12904087635076 = 25808175270152 is not.

Almost surely, 212904087635076 is an apocalyptic number.

12904087635076 is the 3592226-th square number.

It is an amenable number.

12904087635076 is a deficient number, since it is larger than the sum of its proper divisors (12051347783201).

12904087635076 is an frugal number, since it uses more digits than its factorization.

12904087635076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 12904087635076 in words is "twelve trillion, nine hundred four billion, eighty-seven million, six hundred thirty-five thousand, seventy-six".

Divisors: 1 2 4 11 22 44 121 242 269 484 538 607 1076 1214 2428 2959 5918 6677 11836 13354 26708 32549 65098 72361 73447 130196 144722 146894 163283 289444 293788 326566 368449 653132 736898 795971 1473796 1591942 1796113 3183884 3592226 4052939 7184452 8105878 8755681 16211756 17511362 19757243 35022724 39514486 43923127 44582329 79028972 87846254 89164658 99112781 175692508 178329316 198225562 396451124 483154397 966308794 1090240591 1932617588 2180481182 4360962364 5314698367 10629396734 11992646501 21258793468 23985293002 26661338089 47970586004 53322676178 106645352356 293274718979 586549437958 1173098875916 3226021908769 6452043817538 12904087635076