Search a number
-
+
12896846952 = 233114172127
BaseRepresentation
bin11000000001011011…
…00100010001101000
31020021210200201002020
430000231210101220
5202403043100302
65531424104440
7634411250613
oct140055442150
936253621066
1012896846952
115518a30000
1225bb165120
1312a6bc5cb2
148a4b9717a
15507377ebc
hex300b64468

12896846952 has 240 divisors, whose sum is σ = 37971724800. Its totient is φ = 3649282560.

The previous prime is 12896846927. The next prime is 12896846987. The reversal of 12896846952 is 25964869821.

It is a super-2 number, since 2×128968469522 (a number of 21 digits) contains 22 as substring.

Its product of digits (14929920) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 101549913 + ... + 101550039.

It is an arithmetic number, because the mean of its divisors is an integer number (158215520).

Almost surely, 212896846952 is an apocalyptic number.

12896846952 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 12896846952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985862400).

12896846952 is an abundant number, since it is smaller than the sum of its proper divisors (25074877848).

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

12896846952 is a wasteful number, since it uses less digits than its factorization.

12896846952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 160 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 60.

The spelling of 12896846952 in words is "twelve billion, eight hundred ninety-six million, eight hundred forty-six thousand, nine hundred fifty-two".