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9901913516 = 2211282124919
BaseRepresentation
bin10010011100011001…
…10011010110101100
3221120002012022202122
421032030303112230
5130234342213031
64314320212112
7500243606345
oct111614632654
927502168678
109901913516
114221410200
121b0416a038
13c1a596931
1469d10d0cc
153ce48547b
hex24e3335ac

9901913516 has 36 divisors (see below), whose sum is σ = 19070827440. Its totient is φ = 4495207200.

The previous prime is 9901913509. The next prime is 9901913569. The reversal of 9901913516 is 6153191099.

9901913516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 384905 + ... + 409823.

Almost surely, 29901913516 is an apocalyptic number.

It is an amenable number.

9901913516 is a deficient number, since it is larger than the sum of its proper divisors (9168913924).

9901913516 is a wasteful number, since it uses less digits than its factorization.

9901913516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766 (or 25753 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 44.

The square root of 9901913516 is about 99508.3590257623. The cubic root of 9901913516 is about 2147.3675021058.

The spelling of 9901913516 in words is "nine billion, nine hundred one million, nine hundred thirteen thousand, five hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 821 1642 3284 9031 18062 24919 36124 49838 99341 99676 198682 274109 397364 548218 1096436 3015199 6030398 12060796 20458499 40916998 81833996 225043489 450086978 900173956 2475478379 4950956758 9901913516