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9968472040 = 235249211801
BaseRepresentation
bin10010100100010101…
…01100111111101000
3221201201102211220011
421102022230333220
5130403412101130
64325054541304
7502012420462
oct112212547750
927651384804
109968472040
114255a4064a
121b22507834
13c2b2cbb87
146a7cb7132
153d523152a
hex2522acfe8

9968472040 has 16 divisors (see below), whose sum is σ = 22429062180. Its totient is φ = 3987388800.

The previous prime is 9968472029. The next prime is 9968472049. The reversal of 9968472040 is 402748699.

9968472040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9135918724 + 832553316 = 95582^2 + 28854^2 .

It is not an unprimeable number, because it can be changed into a prime (9968472049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124605861 + ... + 124605940.

Almost surely, 29968472040 is an apocalyptic number.

It is an amenable number.

9968472040 is an abundant number, since it is smaller than the sum of its proper divisors (12460590140).

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

9968472040 is a wasteful number, since it uses less digits than its factorization.

9968472040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249211812 (or 249211808 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 9968472040 is about 99842.2357522106. The cubic root of 9968472040 is about 2152.1681420149.

The spelling of 9968472040 in words is "nine billion, nine hundred sixty-eight million, four hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 249211801 498423602 996847204 1246059005 1993694408 2492118010 4984236020 9968472040