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10324672512 = 2173711231
BaseRepresentation
bin10011001110110011…
…00000000000000000
3222122112200201002020
421213121200000000
5132121104010022
64424301321440
7513566161020
oct114731400000
928575621066
1010324672512
114419010300
122001866280
13c8704639b
146dd319a80
1540664235c
hex267660000

10324672512 has 432 divisors, whose sum is σ = 35701779456. Its totient is φ = 2595225600.

The previous prime is 10324672493. The next prime is 10324672529. The reversal of 10324672512 is 21527642301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 333053937 + ... + 333053967.

It is an arithmetic number, because the mean of its divisors is an integer number (82643008).

Almost surely, 210324672512 is an apocalyptic number.

10324672512 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 10324672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850889728).

10324672512 is an abundant number, since it is smaller than the sum of its proper divisors (25377106944).

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

10324672512 is an frugal number, since it uses more digits than its factorization.

10324672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 10324672512 in words is "ten billion, three hundred twenty-four million, six hundred seventy-two thousand, five hundred twelve".