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10907294112 = 2535111317577
BaseRepresentation
bin10100010100010000…
…00001100110100000
31001011010222221200000
422022020001212200
5134314231402422
65002153100000
7534202320201
oct121210014640
931133887600
1010907294112
114697979560
1221449b7600
13104a968bb0
1475685b5a8
1543c87acac
hex28a2019a0

10907294112 has 576 divisors, whose sum is σ = 40082200704. Its totient is φ = 2866544640.

The previous prime is 10907294059. The next prime is 10907294113. The reversal of 10907294112 is 21149270901.

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

It is not an unprimeable number, because it can be changed into a prime (10907294113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18903168 + ... + 18903744.

It is an arithmetic number, because the mean of its divisors is an integer number (69587154).

Almost surely, 210907294112 is an apocalyptic number.

10907294112 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 10907294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20041100352).

10907294112 is an abundant number, since it is smaller than the sum of its proper divisors (29174906592).

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

10907294112 is a wasteful number, since it uses less digits than its factorization.

10907294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10907294112 in words is "ten billion, nine hundred seven million, two hundred ninety-four thousand, one hundred twelve".