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9929239488 = 26327193137113
BaseRepresentation
bin10010011111101010…
…00010101111000000
3221121222121121221200
421033311002233000
5130313341130423
64321134021200
7501025100040
oct111765025700
927558547850
109929239488
114235884653
121b11347800
13c2314374c
146a29c3720
153d1a81d43
hex24fd42bc0

9929239488 has 672 divisors, whose sum is σ = 36618915840. Its totient is φ = 2508226560.

The previous prime is 9929239433. The next prime is 9929239547. The reversal of 9929239488 is 8849329299.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-5 number, since 5×99292394885 (a number of 51 digits) contains 55555 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87869320 + ... + 87869432.

Almost surely, 29929239488 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 9929239488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309457920).

9929239488 is an abundant number, since it is smaller than the sum of its proper divisors (26689676352).

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

9929239488 is a wasteful number, since it uses less digits than its factorization.

9929239488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 9929239488 is about 99645.5693345168. The cubic root of 9929239488 is about 2149.3410266739.

The spelling of 9929239488 in words is "nine billion, nine hundred twenty-nine million, two hundred thirty-nine thousand, four hundred eighty-eight".