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9944832001 = 1310311876257
BaseRepresentation
bin10010100001100001…
…00001100000000001
3221200001221210212011
421100300201200001
5130331334111001
64322452132521
7501304451206
oct112060414001
927601853764
109944832001
114243664525
121b16607141
13c264429a0
146a4ac1cad
153d3111d51
hex250c21801

9944832001 has 16 divisors (see below), whose sum is σ = 10824637824. Its totient is φ = 9081609984.

The previous prime is 9944831969. The next prime is 9944832017. The reversal of 9944832001 is 1002384499.

It is a cyclic number.

It is not a de Polignac number, because 9944832001 - 25 = 9944831969 is a prime.

It is a super-2 number, since 2×99448320012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9944832031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586265 + ... + 1592521.

It is an arithmetic number, because the mean of its divisors is an integer number (676539864).

Almost surely, 29944832001 is an apocalyptic number.

It is an amenable number.

9944832001 is a deficient number, since it is larger than the sum of its proper divisors (879805823).

9944832001 is a wasteful number, since it uses less digits than its factorization.

9944832001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 9944832001 is about 99723.7785134518. The cubic root of 9944832001 is about 2150.4655203263.

The spelling of 9944832001 in words is "nine billion, nine hundred forty-four million, eight hundred thirty-two thousand, one".

Divisors: 1 13 103 1187 1339 6257 15431 81341 122261 644471 1589393 7427059 8378123 96551767 764987077 9944832001