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9979962048 = 26347377433
BaseRepresentation
bin10010100101101101…
…00010001011000000
3221202112001121020000
421102312202023000
5130414332241143
64330145120000
7502212164160
oct112266421300
927675047200
109979962048
114261479221
121b26329000
13c307c29b4
146a96285a0
153d6250bd3
hex252da22c0

9979962048 has 280 divisors, whose sum is σ = 34728436512. Its totient is φ = 2773979136.

The previous prime is 9979962023. The next prime is 9979962049. The reversal of 9979962048 is 8402699799.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9979962049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1338940 + ... + 1346372.

Almost surely, 29979962048 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 9979962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364218256).

9979962048 is an abundant number, since it is smaller than the sum of its proper divisors (24748474464).

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

9979962048 is a wasteful number, since it uses less digits than its factorization.

9979962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The square root of 9979962048 is about 99899.7599997117. The cubic root of 9979962048 is about 2152.9947124996.

The spelling of 9979962048 in words is "nine billion, nine hundred seventy-nine million, nine hundred sixty-two thousand, forty-eight".