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12876930341136 = 2434996792
BaseRepresentation
bin1011101101100010010011…
…0110111101100100010000
31200121000121102020002110000
42323120210312331210100
53141433423131404021
643215325150410000
72466220223640261
oct273304466754420
950530542202400
1012876930341136
114115091527524
12153b775b00900
1372539b83a374
14327365142968
15174e59e7cb26
hexbb624dbd910

12876930341136 has 75 divisors (see below), whose sum is σ = 37269946206471. Its totient is φ = 4292267052384.

The previous prime is 12876930341123. The next prime is 12876930341251. The reversal of 12876930341136 is 63114303967821.

The square root of 12876930341136 is 3588444.

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

12876930341136 is a `hidden beast` number, since 1 + 2 + 87 + 6 + 93 + 0 + 341 + 136 = 666.

12876930341136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 14 ways as a sum of consecutive naturals, for example, 129134145 + ... + 129233823.

Almost surely, 212876930341136 is an apocalyptic number.

12876930341136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12876930341136 is the 3588444-th square number.

It is an amenable number.

12876930341136 is an abundant number, since it is smaller than the sum of its proper divisors (24393015865335).

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

12876930341136 is an frugal number, since it uses more digits than its factorization.

12876930341136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199378 (or 99684 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12876930341136 in words is "twelve trillion, eight hundred seventy-six billion, nine hundred thirty million, three hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 99679 199358 299037 398716 598074 797432 897111 1196148 1594864 1794222 2392296 2691333 3588444 4784592 5382666 7176888 8073999 10765332 14353776 16147998 21530664 32295996 43061328 64591992 129183984 9935903041 19871806082 29807709123 39743612164 59615418246 79487224328 89423127369 119230836492 158974448656 178846254738 238461672984 268269382107 357692509476 476923345968 536538764214 715385018952 804808146321 1073077528428 1430770037904 1609616292642 2146155056856 3219232585284 4292310113712 6438465170568 12876930341136