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12439400832 = 273210798091
BaseRepresentation
bin10111001010111001…
…00011000110000000
31012002220221000222100
423211130203012000
5200433441311312
65414203310400
7620155106505
oct134534430600
935086830870
1012439400832
115303798a61
1224b1b1b400
1312331c0011
1486011b4ac
154cc1185dc
hex2e5723180

12439400832 has 48 divisors (see below), whose sum is σ = 35795674980. Its totient is φ = 4146466560.

The previous prime is 12439400821. The next prime is 12439400839. The reversal of 12439400832 is 23800493421.

12439400832 is a `hidden beast` number, since 1 + 243 + 9 + 400 + 8 + 3 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12439400839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5397894 + ... + 5400197.

Almost surely, 212439400832 is an apocalyptic number.

12439400832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12439400832 is an abundant number, since it is smaller than the sum of its proper divisors (23356274148).

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

12439400832 is a wasteful number, since it uses less digits than its factorization.

12439400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798111 (or 10798096 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12439400832 in words is "twelve billion, four hundred thirty-nine million, four hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10798091 21596182 32394273 43192364 64788546 86384728 97182819 129577092 172769456 194365638 259154184 345538912 388731276 518308368 691077824 777462552 1036616736 1382155648 1554925104 2073233472 3109850208 4146466944 6219700416 12439400832