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9979860150 = 23452133747109
BaseRepresentation
bin10010100101101100…
…01001010010110110
3221202111212102110000
421102312021102312
5130414321011100
64330143012130
7502211261121
oct112266112266
927674772400
109979860150
114261409707
121b2629a046
13c307884c0
146a95dd3b8
153d6230900
hex252d894b6

9979860150 has 480 divisors, whose sum is σ = 31609226880. Its totient is φ = 2317870080.

The previous prime is 9979860133. The next prime is 9979860167. The reversal of 9979860150 is 510689799.

It is an interprime number because it is at equal distance from previous prime (9979860133) and next prime (9979860167).

It is a super-3 number, since 3×99798601503 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 91558296 + ... + 91558404.

It is an arithmetic number, because the mean of its divisors is an integer number (65852556).

Almost surely, 29979860150 is an apocalyptic number.

9979860150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9979860150 is the 49950-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9979860150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804613440).

9979860150 is an abundant number, since it is smaller than the sum of its proper divisors (21629366730).

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

9979860150 is a wasteful number, since it uses less digits than its factorization.

9979860150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9979860150 is about 99899.2499971847. The cubic root of 9979860150 is about 2152.9873849299.

The spelling of 9979860150 in words is "nine billion, nine hundred seventy-nine million, eight hundred sixty thousand, one hundred fifty".