Search a number
-
+
12570431868 = 22322342136061
BaseRepresentation
bin10111011010100000…
…11001000101111100
31012110001111002202200
423231100121011330
5201221012304433
65435203551500
7623335623261
oct135520310574
935401432680
1012570431868
115370754575
12252998b590
1312543a9b87
148736a9268
154d889c613
hex2ed41917c

12570431868 has 72 divisors (see below), whose sum is σ = 33236470176. Its totient is φ = 3998332800.

The previous prime is 12570431851. The next prime is 12570431879. The reversal of 12570431868 is 86813407521.

12570431868 is a `hidden beast` number, since 1 + 2 + 570 + 4 + 3 + 18 + 68 = 666.

12570431868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330558 + ... + 366618.

Almost surely, 212570431868 is an apocalyptic number.

12570431868 is a gapful number since it is divisible by the number (18) 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 12570431868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618235088).

12570431868 is an abundant number, since it is smaller than the sum of its proper divisors (20666038308).

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

12570431868 is a wasteful number, since it uses less digits than its factorization.

12570431868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36515 (or 36510 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12570431868 in words is "twelve billion, five hundred seventy million, four hundred thirty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 421 828 842 1263 1684 2526 3789 5052 7578 9683 15156 19366 29049 36061 38732 58098 72122 87147 108183 116196 144244 174294 216366 324549 348588 432732 649098 829403 1298196 1658806 2488209 3317612 4976418 7464627 9952836 14929254 15181681 29858508 30363362 45545043 60726724 91090086 136635129 182180172 273270258 349178663 546540516 698357326 1047535989 1396714652 2095071978 3142607967 4190143956 6285215934 12570431868