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9957894300 = 22335219389499
BaseRepresentation
bin10010100011000100…
…10110100010011100
3221200222112102222000
421101202112202130
5130343210104200
64324040122300
7501523463544
oct112142264234
927628472860
109957894300
11424aa76412
121b1aa66390
13c29067363
146a6722324
153d4342300
hex25189689c

9957894300 has 288 divisors, whose sum is σ = 33852000000. Its totient is φ = 2504183040.

The previous prime is 9957894293. The next prime is 9957894301. The reversal of 9957894300 is 34987599.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9957894301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19955451 + ... + 19955949.

Almost surely, 29957894300 is an apocalyptic number.

9957894300 is a gapful number since it is divisible by the number (90) 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 9957894300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926000000).

9957894300 is an abundant number, since it is smaller than the sum of its proper divisors (23894105700).

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

9957894300 is a wasteful number, since it uses less digits than its factorization.

9957894300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

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

The square root of 9957894300 is about 99789.2494209672. The cubic root of 9957894300 is about 2151.4066367458.

The spelling of 9957894300 in words is "nine billion, nine hundred fifty-seven million, eight hundred ninety-four thousand, three hundred".