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20446160592 = 243111323671933
BaseRepresentation
bin10011000010101011…
…111010011011010000
31221202221001120112010
4103002223322123100
5313333204114332
613220504102520
71322450332434
oct230253723320
957687046463
1020446160592
118742363090
123b67464a40
131c0ac5bba0
14dbd6649c4
157e9eeb9cc
hex4c2afa6d0

20446160592 has 320 divisors, whose sum is σ = 65751791616. Its totient is φ = 5386106880.

The previous prime is 20446160519. The next prime is 20446160611. The reversal of 20446160592 is 29506164402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20446160592.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10576458 + ... + 10578390.

Almost surely, 220446160592 is an apocalyptic number.

20446160592 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 20446160592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32875895808).

20446160592 is an abundant number, since it is smaller than the sum of its proper divisors (45305631024).

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

20446160592 is a wasteful number, since it uses less digits than its factorization.

20446160592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 20446160592 in words is "twenty billion, four hundred forty-six million, one hundred sixty thousand, five hundred ninety-two".