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12738854496 = 253349138011
BaseRepresentation
bin10111101110100101…
…10111111001100000
31012212210101212011210
423313102313321200
5202042121320441
65504021510120
7630452322324
oct136722677140
935783355153
1012738854496
115447829a25
122576272340
131280259234
1488bbcb984
154e856a616
hex2f74b7e60

12738854496 has 48 divisors (see below), whose sum is σ = 33449951808. Its totient is φ = 4244956800.

The previous prime is 12738854489. The next prime is 12738854501. The reversal of 12738854496 is 69445883721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316131 + ... + 354141.

It is an arithmetic number, because the mean of its divisors is an integer number (696873996).

Almost surely, 212738854496 is an apocalyptic number.

12738854496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12738854496 is an abundant number, since it is smaller than the sum of its proper divisors (20711097312).

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

12738854496 is a wasteful number, since it uses less digits than its factorization.

12738854496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41515 (or 41507 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 12738854496 in words is "twelve billion, seven hundred thirty-eight million, eight hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3491 6982 10473 13964 20946 27928 38011 41892 55856 76022 83784 111712 114033 152044 167568 228066 304088 335136 456132 608176 912264 1216352 1824528 3649056 132696401 265392802 398089203 530785604 796178406 1061571208 1592356812 2123142416 3184713624 4246284832 6369427248 12738854496