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9942256296 = 23327294147353
BaseRepresentation
bin10010100001001101…
…01100101010101000
3221122220002221122200
421100212230222220
5130330204200141
64322321020200
7501243532650
oct112046545250
927586087580
109942256296
114242165345
121b15784660
13c25a504bb
146a4611360
153d2ca3ab6
hex2509acaa8

9942256296 has 384 divisors, whose sum is σ = 33399475200. Its totient is φ = 2611445760.

The previous prime is 9942256277. The next prime is 9942256339. The reversal of 9942256296 is 6926522499.

It is a happy number.

9942256296 is a `hidden beast` number, since 9 + 9 + 4 + 2 + 2 + 5 + 629 + 6 = 666.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28164856 + ... + 28165208.

It is an arithmetic number, because the mean of its divisors is an integer number (86977800).

Almost surely, 29942256296 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 9942256296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699737600).

9942256296 is an abundant number, since it is smaller than the sum of its proper divisors (23457218904).

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

9942256296 is a wasteful number, since it uses less digits than its factorization.

9942256296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 9942256296 is about 99710.8634803651. The cubic root of 9942256296 is about 2150.2798479068.

The spelling of 9942256296 in words is "nine billion, nine hundred forty-two million, two hundred fifty-six thousand, two hundred ninety-six".