Search a number
-
+
12915044352 = 2123476783
BaseRepresentation
bin11000000011100101…
…11111000000000000
31020100001221020020000
430001302333000000
5202422222404402
65533314120000
7635022031350
oct140162770000
936301836200
1012915044352
115528229a81
122605280000
1312aa8c7aa2
148a7372b60
15508c6ec1c
hex301cbf000

12915044352 has 520 divisors, whose sum is σ = 45289808256. Its totient is φ = 3591143424.

The previous prime is 12915044333. The next prime is 12915044369. The reversal of 12915044352 is 25344051921.

12915044352 is a `hidden beast` number, since 12 + 9 + 150 + 443 + 52 = 666.

It is a super-2 number, since 2×129150443522 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155602903 + ... + 155602985.

Almost surely, 212915044352 is an apocalyptic number.

12915044352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12915044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22644904128).

12915044352 is an abundant number, since it is smaller than the sum of its proper divisors (32374763904).

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

12915044352 is an frugal number, since it uses more digits than its factorization.

12915044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12915044352 in words is "twelve billion, nine hundred fifteen million, forty-four thousand, three hundred fifty-two".