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10327590252 = 223272113197263
BaseRepresentation
bin10011001111001001…
…01000010101101100
3222122202011221110200
421213210220111230
5132122330342002
64424444033500
7513633032400
oct114744502554
928582157420
1010327590252
11441a723461
122002832890
13c87828465
146dd879100
15406a1bb1c
hex26792856c

10327590252 has 216 divisors, whose sum is σ = 30909374496. Its totient is φ = 2898717696.

The previous prime is 10327590241. The next prime is 10327590283. The reversal of 10327590252 is 25209572301.

10327590252 is a `hidden beast` number, since 10 + 3 + 2 + 7 + 590 + 2 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39268273 + ... + 39268535.

It is an arithmetic number, because the mean of its divisors is an integer number (143098956).

Almost surely, 210327590252 is an apocalyptic number.

10327590252 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 10327590252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454687248).

10327590252 is an abundant number, since it is smaller than the sum of its proper divisors (20581784244).

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

10327590252 is a wasteful number, since it uses less digits than its factorization.

10327590252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10327590252 in words is "ten billion, three hundred twenty-seven million, five hundred ninety thousand, two hundred fifty-two".