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9968013982 = 283569105533
BaseRepresentation
bin10010100100010001…
…11101001010011110
3221201200120120120001
421102020331022132
5130403302421412
64325041044514
7502005502153
oct112210751236
927650516501
109968013982
114255758493
121b2232673a
13c2b19b534
146a7bd822a
153d5190957
hex25223d29e

9968013982 has 16 divisors (see below), whose sum is σ = 15158903760. Its totient is φ = 4915258432.

The previous prime is 9968013943. The next prime is 9968013983. The reversal of 9968013982 is 2893108699.

9968013982 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99680139822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968013983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41688 + ... + 147220.

It is an arithmetic number, because the mean of its divisors is an integer number (947431485).

Almost surely, 29968013982 is an apocalyptic number.

9968013982 is a deficient number, since it is larger than the sum of its proper divisors (5190889778).

9968013982 is a wasteful number, since it uses less digits than its factorization.

9968013982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106187.

The product of its (nonzero) digits is 1679616, while the sum is 55.

The square root of 9968013982 is about 99839.9418168901. The cubic root of 9968013982 is about 2152.1351769850.

The spelling of 9968013982 in words is "nine billion, nine hundred sixty-eight million, thirteen thousand, nine hundred eighty-two".

Divisors: 1 2 83 166 569 1138 47227 94454 105533 211066 8759239 17518478 60048277 120096554 4984006991 9968013982