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9097920000 = 29375413
BaseRepresentation
bin10000111100100011…
…10011111000000000
3212111001100020000000
420132101303320000
5122113031420000
64102440000000
7441312021051
oct103621637000
925431306000
109097920000
1139495a1a54
12191aa60000
13b1cb46120
14624424728
15383ac0000
hex21e473e00

9097920000 has 800 divisors, whose sum is σ = 36688380960. Its totient is φ = 2239488000.

The previous prime is 9097919983. The next prime is 9097920031. The reversal of 9097920000 is 297909.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 699839994 + ... + 699840006.

Almost surely, 29097920000 is an apocalyptic number.

9097920000 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 9097920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344190480).

9097920000 is an abundant number, since it is smaller than the sum of its proper divisors (27590460960).

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

9097920000 is an frugal number, since it uses more digits than its factorization.

9097920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 9097920000 is about 95383.0173563407. The cubic root of 9097920000 is about 2087.6003991536.

The spelling of 9097920000 in words is "nine billion, ninety-seven million, nine hundred twenty thousand".