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9983913201 = 332928034549
BaseRepresentation
bin10010100110001011…
…00110110011110001
3221202210111100012000
421103011212303301
5130421340210301
64330405524213
7502260601443
oct112305466361
927683440160
109983913201
114263727839
121b27713669
13c31577262
146a9d76493
153d6781786
hex253166cf1

9983913201 has 32 divisors (see below), whose sum is σ = 15309840000. Its totient is φ = 6422721984.

The previous prime is 9983913197. The next prime is 9983913217. The reversal of 9983913201 is 1023193899.

It is a happy number.

9983913201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9983913201 - 22 = 9983913197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9983913601) 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 31 ways as a sum of consecutive naturals, for example, 2192475 + ... + 2197023.

It is an arithmetic number, because the mean of its divisors is an integer number (478432500).

Almost surely, 29983913201 is an apocalyptic number.

It is an amenable number.

9983913201 is a deficient number, since it is larger than the sum of its proper divisors (5325926799).

9983913201 is a wasteful number, since it uses less digits than its factorization.

9983913201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9983913201 is about 99919.5336308172. The cubic root of 9983913201 is about 2153.2788047331.

The spelling of 9983913201 in words is "nine billion, nine hundred eighty-three million, nine hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 27 29 87 261 783 2803 4549 8409 13647 25227 40941 75681 81287 122823 131921 243861 395763 731583 1187289 2194749 3561867 12750847 38252541 114757623 344272869 369774563 1109323689 3327971067 9983913201