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9929293660 = 225111323271557
BaseRepresentation
bin10010011111101010…
…01111111101011100
3221121222201101021001
421033311033331130
5130313344344120
64321135120044
7501025414006
oct111765177534
927558641231
109929293660
114235911320
121b11373024
13c231622c0
146a29d9376
153d1a92e0a
hex24fd4ff5c

9929293660 has 192 divisors, whose sum is σ = 25702354944. Its totient is φ = 3170534400.

The previous prime is 9929293589. The next prime is 9929293663. The reversal of 9929293660 is 663929299.

9929293660 is a nontrivial binomial coefficient, being equal to C(140921, 2).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9929293663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17826102 + ... + 17826658.

It is an arithmetic number, because the mean of its divisors is an integer number (133866432).

Almost surely, 29929293660 is an apocalyptic number.

9929293660 is the 140920-th triangular number.

9929293660 is the 46974-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9929293660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12851177472).

9929293660 is an abundant number, since it is smaller than the sum of its proper divisors (15773061284).

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

9929293660 is a wasteful number, since it uses less digits than its factorization.

9929293660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 55.

The square root of 9929293660 is about 99645.8411575716. The cubic root of 9929293660 is about 2149.3449354624.

The spelling of 9929293660 in words is "nine billion, nine hundred twenty-nine million, two hundred ninety-three thousand, six hundred sixty".