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12889515024 = 243294612
BaseRepresentation
bin11000000000100011…
…00110010000010000
31020021021220012120100
430000101212100100
5202344203440044
65531003012400
7634262033001
oct140021462020
936237805510
1012889515024
115514882461
1225b880a100
1312a5529989
148a3c091a8
155068ca869
hex300466410

12889515024 has 45 divisors (see below), whose sum is σ = 36076553149. Its totient is φ = 4296050880.

The previous prime is 12889515019. The next prime is 12889515053. The reversal of 12889515024 is 42051598821.

The square root of 12889515024 is 113532.

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

12889515024 is a `hidden beast` number, since 12 + 8 + 89 + 51 + 502 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9708555024 + 3180960000 = 98532^2 + 56400^2 .

It is a super-2 number, since 2×128895150242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1357654 + ... + 1367114.

Almost surely, 212889515024 is an apocalyptic number.

12889515024 is the 113532-nd square number.

It is an amenable number.

12889515024 is an abundant number, since it is smaller than the sum of its proper divisors (23187038125).

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

12889515024 is an frugal number, since it uses more digits than its factorization.

12889515024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 12889515024 in words is "twelve billion, eight hundred eighty-nine million, five hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 9461 18922 28383 37844 56766 75688 85149 113532 151376 170298 227064 340596 454128 681192 1362384 89510521 179021042 268531563 358042084 537063126 716084168 805594689 1074126252 1432168336 1611189378 2148252504 3222378756 4296505008 6444757512 12889515024