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9299996640 = 25335112367127
BaseRepresentation
bin10001010100101001…
…01010111111100000
3220000010120210001000
420222110222333200
5123021244343030
64134455112000
7446314444554
oct105224527740
926003523030
109299996640
113a42673140
121976672600
13b529796bc
146431c7864
153966d9860
hex22a52afe0

9299996640 has 768 divisors, whose sum is σ = 37902090240. Its totient is φ = 2107607040.

The previous prime is 9299996639. The next prime is 9299996669. The reversal of 9299996640 is 466999929.

It is a super-2 number, since 2×92999966402 (a number of 21 digits) contains 22 as substring.

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, 73228257 + ... + 73228383.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 29299996640 is an apocalyptic number.

9299996640 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 9299996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951045120).

9299996640 is an abundant number, since it is smaller than the sum of its proper divisors (28602093600).

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

9299996640 is a wasteful number, since it uses less digits than its factorization.

9299996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The square root of 9299996640 is about 96436.4901891395. The cubic root of 9299996640 is about 2102.9434642037.

It can be divided in two parts, 929999 and 6640, that added together give a palindrome (936639).

The spelling of 9299996640 in words is "nine billion, two hundred ninety-nine million, nine hundred ninety-six thousand, six hundred forty".