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9245945016 = 2333711569977
BaseRepresentation
bin10001001110001100…
…11110110010111000
3212212100212200011000
420213012132302320
5122413430220031
64125244405000
7445060143630
oct104706366270
925770780130
109245945016
113a15105380
121960546760
13b447030a9
14639d576c0
15391aae3e6
hex22719ecb8

9245945016 has 256 divisors, whose sum is σ = 32109696000. Its totient is φ = 2394869760.

The previous prime is 9245945003. The next prime is 9245945063. The reversal of 9245945016 is 6105495429.

9245945016 is a `hidden beast` number, since 9 + 2 + 4 + 594 + 50 + 1 + 6 = 666.

9245945016 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 63 ways as a sum of consecutive naturals, for example, 9463120 + ... + 9464096.

It is an arithmetic number, because the mean of its divisors is an integer number (125428500).

Almost surely, 29245945016 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 9245945016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16054848000).

9245945016 is an abundant number, since it is smaller than the sum of its proper divisors (22863750984).

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

9245945016 is a wasteful number, since it uses less digits than its factorization.

9245945016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9245945016 is about 96155.8371395102. The cubic root of 9245945016 is about 2098.8614399597.

The spelling of 9245945016 in words is "nine billion, two hundred forty-five million, nine hundred forty-five thousand, sixteen".