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9422959104 = 2932131719487
BaseRepresentation
bin10001100011010011…
…01111001000000000
3220022200221220211100
420301221233020000
5123244234142404
64155010414400
7452336554656
oct106151571000
926280856740
109422959104
113aa6018709
1219ab891400
13b7229cb60
14655674dd6
153a23c7d39
hex231a6f200

9422959104 has 480 divisors, whose sum is σ = 32709156480. Its totient is φ = 2579890176.

The previous prime is 9422959037. The next prime is 9422959109. The reversal of 9422959104 is 4019592249.

It is a self number, because there is not a number n which added to its sum of digits gives 9422959104.

It is not an unprimeable number, because it can be changed into a prime (9422959109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19348749 + ... + 19349235.

It is an arithmetic number, because the mean of its divisors is an integer number (68144076).

Almost surely, 29422959104 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 9422959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354578240).

9422959104 is an abundant number, since it is smaller than the sum of its proper divisors (23286197376).

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

9422959104 is a wasteful number, since it uses less digits than its factorization.

9422959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9422959104 is about 97071.9274764852. The cubic root of 9422959104 is about 2112.1711293842.

The spelling of 9422959104 in words is "nine billion, four hundred twenty-two million, nine hundred fifty-nine thousand, one hundred four".