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9690992640 = 212325722937
BaseRepresentation
bin10010000011010000…
…01101000000000000
3221000101022102201100
421001220031000000
5124321343231030
64241343334400
7462103035600
oct110150150000
927011272640
109690992640
11412334922a
121a655b1400
13bb5987894
1467d0c6c00
153babc0360
hex241a0d000

9690992640 has 936 divisors, whose sum is σ = 41515592040. Its totient is φ = 2080899072.

The previous prime is 9690992639. The next prime is 9690992653. The reversal of 9690992640 is 462990969.

It can be written as a sum of positive squares in 4 ways, for example, as 2747437056 + 6943555584 = 52416^2 + 83328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261918702 + ... + 261918738.

It is an arithmetic number, because the mean of its divisors is an integer number (44354265).

Almost surely, 29690992640 is an apocalyptic number.

9690992640 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 9690992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757796020).

9690992640 is an abundant number, since it is smaller than the sum of its proper divisors (31824599400).

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

9690992640 is a wasteful number, since it uses less digits than its factorization.

9690992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9690992640 is about 98442.8394551884. The cubic root of 9690992640 is about 2132.0109026308.

The spelling of 9690992640 in words is "nine billion, six hundred ninety million, nine hundred ninety-two thousand, six hundred forty".