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9938872576 = 28291338749
BaseRepresentation
bin10010100000110011…
…10010100100000000
3221122122202001001201
421100121302210000
5130323322410301
64322120310544
7501203010613
oct112031624400
927578661051
109938872576
114240264086
121b14612454
13c251372b9
146a3db017a
153d2836201
hex250672900

9938872576 has 36 divisors (see below), whose sum is σ = 20523037500. Its totient is φ = 4798072832.

The previous prime is 9938872529. The next prime is 9938872577. The reversal of 9938872576 is 6752788399.

It can be written as a sum of positive squares in 2 ways, for example, as 8508217600 + 1430654976 = 92240^2 + 37824^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (9938872577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 661951 + ... + 676798.

It is an arithmetic number, because the mean of its divisors is an integer number (570084375).

Almost surely, 29938872576 is an apocalyptic number.

It is an amenable number.

9938872576 is an abundant number, since it is smaller than the sum of its proper divisors (10584164924).

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

9938872576 is a wasteful number, since it uses less digits than its factorization.

9938872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338794 (or 1338780 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

The square root of 9938872576 is about 99693.8943767370. The cubic root of 9938872576 is about 2150.0358801295.

The spelling of 9938872576 in words is "nine billion, nine hundred thirty-eight million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 1338749 2677498 5354996 10709992 21419984 38823721 42839968 77647442 85679936 155294884 171359872 310589768 342719744 621179536 1242359072 2484718144 4969436288 9938872576