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9942147072 = 2133211132341
BaseRepresentation
bin10010100001001100…
…10010000000000000
3221122212220101211100
421100212102000000
5130330142201242
64322314414400
7501242566344
oct112046220000
927585811740
109942147072
1142420a0280
121b15731400
13c25a12880
146a45c3624
153d2c8154c
hex250992000

9942147072 has 672 divisors, whose sum is σ = 36066715776. Its totient is φ = 2595225600.

The previous prime is 9942147071. The next prime is 9942147097. The reversal of 9942147072 is 2707412499.

It is a happy number.

9942147072 is a `hidden beast` number, since 9 + 94 + 21 + 470 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9942147071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242491372 + ... + 242491412.

It is an arithmetic number, because the mean of its divisors is an integer number (53670708).

Almost surely, 29942147072 is an apocalyptic number.

9942147072 is a gapful number since it is divisible by the number (92) 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 9942147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033357888).

9942147072 is an abundant number, since it is smaller than the sum of its proper divisors (26124568704).

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

9942147072 is a wasteful number, since it uses less digits than its factorization.

9942147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 9942147072 is about 99710.3157752497. The cubic root of 9942147072 is about 2150.2719736705.

The spelling of 9942147072 in words is "nine billion, nine hundred forty-two million, one hundred forty-seven thousand, seventy-two".