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9997460928 = 2632713296577
BaseRepresentation
bin10010100111110010…
…10010010111000000
3221210201222122011200
421103321102113000
5130433322222203
64332012141200
7502514005260
oct112371222700
927721878150
109997460928
114270340404
121b30167800
13c3430b870
146abaa17a0
153d7a5a9a3
hex253e525c0

9997460928 has 336 divisors, whose sum is σ = 36490534080. Its totient is φ = 2545385472.

The previous prime is 9997460917. The next prime is 9997460933. The reversal of 9997460928 is 8290647999.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1516776 + ... + 1523352.

It is an arithmetic number, because the mean of its divisors is an integer number (108602780).

Almost surely, 29997460928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18245267040).

9997460928 is an abundant number, since it is smaller than the sum of its proper divisors (26493073152).

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

9997460928 is a wasteful number, since it uses less digits than its factorization.

9997460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9997460928 is about 99987.3038340368. The cubic root of 9997460928 is about 2154.2523324371.

The spelling of 9997460928 in words is "nine billion, nine hundred ninety-seven million, four hundred sixty thousand, nine hundred twenty-eight".