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20383695360 = 29355731151
BaseRepresentation
bin10010111110111101…
…101000001000000000
31221121120112000100000
4102332331220020000
5313221211222420
613210353200000
71321061360160
oct227675501000
957546460300
1020383695360
118710079026
123b4a560000
131bcb02ab02
14db52445a0
157e47ad690
hex4bef68200

20383695360 has 960 divisors, whose sum is σ = 86938435584. Its totient is φ = 4478976000.

The previous prime is 20383695359. The next prime is 20383695373. The reversal of 20383695360 is 6359638302.

20383695360 is a `hidden beast` number, since 20 + 38 + 3 + 69 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 134991285 + ... + 134991435.

Almost surely, 220383695360 is an apocalyptic number.

20383695360 is a gapful number since it is divisible by the number (20) 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 20383695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43469217792).

20383695360 is an abundant number, since it is smaller than the sum of its proper divisors (66554740224).

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

20383695360 is an equidigital number, since it uses as much as digits as its factorization.

20383695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20383695360 in words is "twenty billion, three hundred eighty-three million, six hundred ninety-five thousand, three hundred sixty".