Search a number
-
+
325112101310556 = 223375979277397839
BaseRepresentation
bin100100111101100000000111…
…1010011111001000001011100
31120122010102011022220211111000
41021323000033103321001130
5320103114040413414211
63111242234255030300
7125323400642630340
oct11173001723710134
91518112138824430
10325112101310556
11946552a459791a
1230568aa0b0b390
1310c53c2a406221
145a3d71c72b620
15278bda2734656
hex127b00f4f905c

325112101310556 has 768 divisors, whose sum is σ = 999301201920000. Its totient is φ = 89500329464832.

The previous prime is 325112101310449. The next prime is 325112101310567. The reversal of 325112101310556 is 655013101211523.

325112101310556 is a `hidden beast` number, since 3 + 2 + 51 + 1 + 21 + 0 + 1 + 31 + 0 + 556 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 325112101310556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 387499524385 + ... + 387499525223.

It is an arithmetic number, because the mean of its divisors is an integer number (1301173440000).

Almost surely, 2325112101310556 is an apocalyptic number.

325112101310556 is a gapful number since it is divisible by the number (36) 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 325112101310556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499650600960000).

325112101310556 is an abundant number, since it is smaller than the sum of its proper divisors (674189100609444).

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

325112101310556 is a wasteful number, since it uses less digits than its factorization.

325112101310556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 325112101310556 in words is "three hundred twenty-five trillion, one hundred twelve billion, one hundred one million, three hundred ten thousand, five hundred fifty-six".