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9949988160 = 263457293161
BaseRepresentation
bin10010100010001000…
…01100010101000000
3221200102122202210000
421101010030111000
5130334144110120
64323154440000
7501366334560
oct112104142500
927612582700
109949988160
114246566412
121b18293000
13c27529878
146a5664da0
153d37ce990
hex25110c540

9949988160 has 1120 divisors, whose sum is σ = 43902904320. Its totient is φ = 2090188800.

The previous prime is 9949988093. The next prime is 9949988161. The reversal of 9949988160 is 618899499.

9949988160 is a `hidden beast` number, since 9 + 9 + 499 + 8 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9949988161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163114530 + ... + 163114590.

Almost surely, 29949988160 is an apocalyptic number.

9949988160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951452160).

9949988160 is an abundant number, since it is smaller than the sum of its proper divisors (33952916160).

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

9949988160 is a wasteful number, since it uses less digits than its factorization.

9949988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The square root of 9949988160 is about 99749.6273677250. The cubic root of 9949988160 is about 2150.8371111983.

The spelling of 9949988160 in words is "nine billion, nine hundred forty-nine million, nine hundred eighty-eight thousand, one hundred sixty".