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10133494560 = 25325723109401
BaseRepresentation
bin10010111000000000…
…01101101100100000
3222011012221212020100
421130000031230200
5131223133311220
64353311542400
7506055165630
oct113400155440
928135855210
1010133494560
1143301034a2
121b6982aa00
13c5655a737
146c1b926c0
153e497bd90
hex25c00db20

10133494560 has 576 divisors, whose sum is σ = 41721039360. Its totient is φ = 2189721600.

The previous prime is 10133494541. The next prime is 10133494571. The reversal of 10133494560 is 6549433101.

10133494560 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 4 + 94 + 560 = 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 95 ways as a sum of consecutive naturals, for example, 25270360 + ... + 25270760.

It is an arithmetic number, because the mean of its divisors is an integer number (72432360).

Almost surely, 210133494560 is an apocalyptic number.

10133494560 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 10133494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20860519680).

10133494560 is an abundant number, since it is smaller than the sum of its proper divisors (31587544800).

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

10133494560 is a wasteful number, since it uses less digits than its factorization.

10133494560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10133494560 in words is "ten billion, one hundred thirty-three million, four hundred ninety-four thousand, five hundred sixty".