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12638780290304 = 28724129265107
BaseRepresentation
bin1011011111101011001000…
…0000100111010100000000
31122202020220022220000121222
42313322302000213110000
53124033210223242204
642514101524334212
72443056520623260
oct267726200472400
948666808800558
1012638780290304
114033092a884a3
121501591b44368
13708aa77c6c1c
14319a1244d7a0
1516db6c644abe
hexb7eb2027500

12638780290304 has 72 divisors (see below), whose sum is σ = 28951854283968. Its totient is φ = 5394144337920.

The previous prime is 12638780290223. The next prime is 12638780290379. The reversal of 12638780290304 is 40309208783621.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 14200682 + ... + 15064425.

Almost surely, 212638780290304 is an apocalyptic number.

12638780290304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12638780290304 is an abundant number, since it is smaller than the sum of its proper divisors (16313073993664).

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

12638780290304 is an equidigital number, since it uses as much as digits as its factorization.

12638780290304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29265371 (or 29265357 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 12638780290304 in words is "twelve trillion, six hundred thirty-eight billion, seven hundred eighty million, two hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 241 256 448 482 896 964 1687 1792 1928 3374 3856 6748 7712 13496 15424 26992 30848 53984 61696 107968 215936 431872 29265107 58530214 117060428 204855749 234120856 409711498 468241712 819422996 936483424 1638845992 1872966848 3277691984 3745933696 6555383968 7052890787 7491867392 13110767936 14105781574 26221535872 28211563148 49370235509 52443071744 56423126296 98740471018 112846252592 197480942036 225692505184 394961884072 451385010368 789923768144 902770020736 1579847536288 1805540041472 3159695072576 6319390145152 12638780290304