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9075274560 = 26335111741137
BaseRepresentation
bin10000111001110110…
…11011001101000000
3212102110201201022000
420130323123031000
5122041232241220
64100310344000
7440615363262
oct103473331500
925373651260
109075274560
113937835110
12191335b000
13b18247861
1462140bb32
15381aea390
hex21cedb340

9075274560 has 896 divisors, whose sum is σ = 38159009280. Its totient is φ = 2005401600.

The previous prime is 9075274511. The next prime is 9075274609. The reversal of 9075274560 is 654725709.

It is an interprime number because it is at equal distance from previous prime (9075274511) and next prime (9075274609).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66242812 + ... + 66242948.

It is an arithmetic number, because the mean of its divisors is an integer number (42588180).

Almost surely, 29075274560 is an apocalyptic number.

9075274560 is a gapful number since it is divisible by the number (90) 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 9075274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079504640).

9075274560 is an abundant number, since it is smaller than the sum of its proper divisors (29083734720).

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

9075274560 is a wasteful number, since it uses less digits than its factorization.

9075274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 9075274560 is about 95264.2354716606. The cubic root of 9075274560 is about 2085.8668927647.

The spelling of 9075274560 in words is "nine billion, seventy-five million, two hundred seventy-four thousand, five hundred sixty".