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9857304990 = 23351317233709
BaseRepresentation
bin10010010111000101…
…01000100110011110
3221102222020222101000
421023202220212132
5130141432224430
64310044131130
7466162465341
oct111342504636
927388228330
109857304990
1141a9212155
121ab1236aa6
13c11278560
1469721a458
153ca5c2e60
hex24b8a899e

9857304990 has 256 divisors, whose sum is σ = 30144441600. Its totient is φ = 2270674944.

The previous prime is 9857304983. The next prime is 9857305009. The reversal of 9857304990 is 994037589.

9857304990 is a `hidden beast` number, since 9 + 85 + 73 + 0 + 499 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13902756 + ... + 13903464.

It is an arithmetic number, because the mean of its divisors is an integer number (117751725).

Almost surely, 29857304990 is an apocalyptic number.

9857304990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9857304990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072220800).

9857304990 is an abundant number, since it is smaller than the sum of its proper divisors (20287136610).

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

9857304990 is a wasteful number, since it uses less digits than its factorization.

9857304990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9857304990 is about 99283.9613935705. The cubic root of 9857304990 is about 2144.1379880222.

The spelling of 9857304990 in words is "nine billion, eight hundred fifty-seven million, three hundred four thousand, nine hundred ninety".