Search a number
-
+
326887852032 = 2113279726119
BaseRepresentation
bin1001100000111000000…
…10001100100000000000
31011020202101011102200200
410300130002030200000
520323431242231112
6410100433045200
732421404616450
oct4603402144000
91136671142620
10326887852032
111166a5741515
125342a0b6800
1324a96504521
1411b7010dd60
158782e8ecdc
hex4c1c08c800

326887852032 has 288 divisors, whose sum is σ = 1090150588800. Its totient is φ = 92430139392.

The previous prime is 326887852019. The next prime is 326887852069. The reversal of 326887852032 is 230258788623.

326887852032 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 87 + 8 + 520 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 326887852032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12502269 + ... + 12528387.

It is an arithmetic number, because the mean of its divisors is an integer number (3785245100).

Almost surely, 2326887852032 is an apocalyptic number.

326887852032 is a gapful number since it is divisible by the number (32) 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 326887852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545075294400).

326887852032 is an abundant number, since it is smaller than the sum of its proper divisors (763262736768).

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

326887852032 is a wasteful number, since it uses less digits than its factorization.

326887852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26251 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 326887852032 in words is "three hundred twenty-six billion, eight hundred eighty-seven million, eight hundred fifty-two thousand, thirty-two".