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10925472000 = 28353731559
BaseRepresentation
bin10100010110011010…
…10111100100000000
31001012102012111001010
422023031113210000
5134333410101000
65004042440520
7534512660022
oct121315274400
931172174033
1010925472000
1146a7164903
12214ab03140
131051661b41
14759030012
1543e26bd50
hex28b357900

10925472000 has 288 divisors, whose sum is σ = 36809660160. Its totient is φ = 2871705600.

The previous prime is 10925471981. The next prime is 10925472023. The reversal of 10925472000 is 27452901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7007221 + ... + 7008779.

It is an arithmetic number, because the mean of its divisors is an integer number (127811320).

Almost surely, 210925472000 is an apocalyptic number.

10925472000 is a gapful number since it is divisible by the number (10) 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 10925472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18404830080).

10925472000 is an abundant number, since it is smaller than the sum of its proper divisors (25884188160).

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

10925472000 is an equidigital number, since it uses as much as digits as its factorization.

10925472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 10925472000 in words is "ten billion, nine hundred twenty-five million, four hundred seventy-two thousand".