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9022740480 = 2113251317443
BaseRepresentation
bin10000110011100110…
…00001100000000000
3212021210212201002100
420121303001200000
5121434310143410
64051152350400
7436410012555
oct103163014000
925253781070
109022740480
113910113516
1218b9845400
13b0a3b2bc0
14618454a2c
1537c1be8c0
hex219cc1800

9022740480 has 576 divisors, whose sum is σ = 35738146080. Its totient is φ = 2085617664.

The previous prime is 9022740479. The next prime is 9022740491. The reversal of 9022740480 is 840472209.

9022740480 is a `hidden beast` number, since 90 + 22 + 74 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20367139 + ... + 20367581.

Almost surely, 29022740480 is an apocalyptic number.

9022740480 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 9022740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869073040).

9022740480 is an abundant number, since it is smaller than the sum of its proper divisors (26715405600).

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

9022740480 is a wasteful number, since it uses less digits than its factorization.

9022740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 9022740480 is about 94988.1070450401. The cubic root of 9022740480 is about 2081.8342793735.

The spelling of 9022740480 in words is "nine billion, twenty-two million, seven hundred forty thousand, four hundred eighty".