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9979641396 = 22331922331359
BaseRepresentation
bin10010100101101010…
…10011111000110100
3221202111110022101000
421102311103320310
5130414242011041
64330134203300
7502206360264
oct112265237064
927674408330
109979641396
11426127a31a
121b261b3530
13c3070ca6a
146a95837a4
153d61dabb6
hex252d53e34

9979641396 has 288 divisors, whose sum is σ = 29494886400. Its totient is φ = 2909079360.

The previous prime is 9979641383. The next prime is 9979641401. The reversal of 9979641396 is 6931469799.

9979641396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 27798265 + ... + 27798623.

It is an arithmetic number, because the mean of its divisors is an integer number (102412800).

Almost surely, 29979641396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9979641396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747443200).

9979641396 is an abundant number, since it is smaller than the sum of its proper divisors (19515245004).

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

9979641396 is a wasteful number, since it uses less digits than its factorization.

9979641396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its digits is 19840464, while the sum is 63.

The square root of 9979641396 is about 99898.1551181002. The cubic root of 9979641396 is about 2152.9716539799.

The spelling of 9979641396 in words is "nine billion, nine hundred seventy-nine million, six hundred forty-one thousand, three hundred ninety-six".