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9992932956 = 223331109139197
BaseRepresentation
bin10010100111010000…
…00000111001011100
3221210102110120222000
421103220000321130
5130431142323311
64331331122300
7502430346216
oct112350007134
927712416860
109992932956
114268828486
121b2a743390
13c333b48a6
146ab2435b6
153d7464056
hex253a00e5c

9992932956 has 192 divisors, whose sum is σ = 27320832000. Its totient is φ = 3154878720.

The previous prime is 9992932933. The next prime is 9992932969. The reversal of 9992932956 is 6592392999.

It is a super-2 number, since 2×99929329562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9992932893 and 9992932902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50725450 + ... + 50725646.

It is an arithmetic number, because the mean of its divisors is an integer number (142296000).

Almost surely, 29992932956 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 9992932956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416000).

9992932956 is an abundant number, since it is smaller than the sum of its proper divisors (17327899044).

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

9992932956 is a wasteful number, since it uses less digits than its factorization.

9992932956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its digits is 21257640, while the sum is 63.

The square root of 9992932956 is about 99964.6585349042. The cubic root of 9992932956 is about 2153.9270542720.

The spelling of 9992932956 in words is "nine billion, nine hundred ninety-two million, nine hundred thirty-two thousand, nine hundred fifty-six".