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20237418432 = 26347113419
BaseRepresentation
bin10010110110001111…
…100111111111000000
31221020101021101010000
4102312033213333000
5312421234342212
613144050040000
71314334134630
oct226617477700
957211241100
1020237418432
11864554a000
123b09579000
131ba693370a
14d9da486c0
157d6a171dc
hex4b63e7fc0

20237418432 has 560 divisors, whose sum is σ = 75590887680. Its totient is φ = 5243927040.

The previous prime is 20237418373. The next prime is 20237418451. The reversal of 20237418432 is 23481473202.

It is a happy number.

20237418432 is a `hidden beast` number, since 2 + 0 + 237 + 418 + 4 + 3 + 2 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48299119 + ... + 48299537.

It is an arithmetic number, because the mean of its divisors is an integer number (134983728).

Almost surely, 220237418432 is an apocalyptic number.

20237418432 is a gapful number since it is divisible by the number (22) 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 20237418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795443840).

20237418432 is an abundant number, since it is smaller than the sum of its proper divisors (55353469248).

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

20237418432 is an equidigital number, since it uses as much as digits as its factorization.

20237418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20237418432 in words is "twenty billion, two hundred thirty-seven million, four hundred eighteen thousand, four hundred thirty-two".