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9992101560 = 2335721799961
BaseRepresentation
bin10010100111001001…
…10101111010111000
3221210100220100111120
421103210311322320
5130430434222220
64331301225240
7502420314300
oct112344657270
927710810446
109992101560
11426830a881
121b2a402220
13c3318333c
146ab0a8600
153d734ca40
hex253935eb8

9992101560 has 192 divisors, whose sum is σ = 36921964320. Its totient is φ = 2149539840.

The previous prime is 9992101547. The next prime is 9992101579. The reversal of 9992101560 is 651012999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49980 + ... + 149940.

Almost surely, 29992101560 is an apocalyptic number.

It is a pronic number, being equal to 99960×99961.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9992101560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460982160).

9992101560 is an abundant number, since it is smaller than the sum of its proper divisors (26929862760).

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

9992101560 is a wasteful number, since it uses less digits than its factorization.

9992101560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100006 (or 99995 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 9992101560 is about 99960.4999987495. The cubic root of 9992101560 is about 2153.8673181895.

The spelling of 9992101560 in words is "nine billion, nine hundred ninety-two million, one hundred one thousand, five hundred sixty".