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9942905160 = 2332527619181
BaseRepresentation
bin10010100001010010…
…01011000101001000
3221122221022220201200
421100221023011020
5130330340431120
64322342544200
7501252204456
oct112051130510
927587286650
109942905160
1142425688a1
121b15a38060
13c25c19946
146a473d9d6
153d2d80e90
hex250a4b148

9942905160 has 48 divisors (see below), whose sum is σ = 32314442940. Its totient is φ = 2651441280.

The previous prime is 9942905111. The next prime is 9942905197. The reversal of 9942905160 is 615092499.

9942905160 is a `hidden beast` number, since 9 + 9 + 42 + 90 + 516 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9930919716 + 11985444 = 99654^2 + 3462^2 .

It is a super-2 number, since 2×99429051602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13809231 + ... + 13809950.

Almost surely, 29942905160 is an apocalyptic number.

9942905160 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9942905160 is an abundant number, since it is smaller than the sum of its proper divisors (22371537780).

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

9942905160 is a wasteful number, since it uses less digits than its factorization.

9942905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27619198 (or 27619191 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9942905160 is about 99714.1171549947. The cubic root of 9942905160 is about 2150.3266249760.

The spelling of 9942905160 in words is "nine billion, nine hundred forty-two million, nine hundred five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27619181 55238362 82857543 110476724 138095905 165715086 220953448 248572629 276191810 331430172 414287715 497145258 552383620 662860344 828575430 994290516 1104767240 1242863145 1657150860 1988581032 2485726290 3314301720 4971452580 9942905160