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20374672500 = 22335471331107
BaseRepresentation
bin10010111110011011…
…001101010001110100
31221120221112121022000
4102332123031101310
5313211404010000
613205431535300
71320621600360
oct227633152164
957527477260
1020374672500
118705a76016
123b4752a530
131bc91bbc40
14db3d762a0
157e3aca000
hex4be6cd474

20374672500 has 960 divisors, whose sum is σ = 84644904960. Its totient is φ = 4121280000.

The previous prime is 20374672489. The next prime is 20374672523. The reversal of 20374672500 is 527647302.

It is a happy number.

20374672500 is a `hidden beast` number, since 20 + 3 + 74 + 67 + 2 + 500 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 190417447 + ... + 190417553.

It is an arithmetic number, because the mean of its divisors is an integer number (88171776).

Almost surely, 220374672500 is an apocalyptic number.

20374672500 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 20374672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42322452480).

20374672500 is an abundant number, since it is smaller than the sum of its proper divisors (64270232460).

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

20374672500 is a wasteful number, since it uses less digits than its factorization.

20374672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20374672500 in words is "twenty billion, three hundred seventy-four million, six hundred seventy-two thousand, five hundred".