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9947957376 = 2737191091787
BaseRepresentation
bin10010100001111000…
…11100100010000000
3221200021211121001210
421100330130202000
5130333134114001
64323043130120
7501343146120
oct112074344200
927607747053
109947957376
1142453a9685
121b17673940
13c26c98416
146a5296c80
153d352cdd6
hex250f1c880

9947957376 has 256 divisors, whose sum is σ = 32098176000. Its totient is φ = 2666483712.

The previous prime is 9947957339. The next prime is 9947957413. The reversal of 9947957376 is 6737597499.

It is an interprime number because it is at equal distance from previous prime (9947957339) and next prime (9947957413).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5565955 + ... + 5567741.

It is an arithmetic number, because the mean of its divisors is an integer number (125383500).

Almost surely, 29947957376 is an apocalyptic number.

9947957376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9947957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049088000).

9947957376 is an abundant number, since it is smaller than the sum of its proper divisors (22150218624).

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

9947957376 is a wasteful number, since it uses less digits than its factorization.

9947957376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1927 counting only the distinct ones).

The product of its digits is 90016920, while the sum is 66.

The square root of 9947957376 is about 99739.4474418221. The cubic root of 9947957376 is about 2150.6907732424.

The spelling of 9947957376 in words is "nine billion, nine hundred forty-seven million, nine hundred fifty-seven thousand, three hundred seventy-six".