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20076232320 = 27355167773
BaseRepresentation
bin10010101100101000…
…101111111010000000
31220211010222021100000
4102230220233322000
5312104003413240
613120051200000
71310336105364
oct225450577200
956733867300
1020076232320
118572567541
123a835a6000
131b7c419111
14d8648b2a4
157c77c8430
hex4aca2fe80

20076232320 has 384 divisors, whose sum is σ = 72417421440. Its totient is φ = 5314719744.

The previous prime is 20076232291. The next prime is 20076232327. The reversal of 20076232320 is 2323267002.

20076232320 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 623 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×200762323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20076232327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25971454 + ... + 25972226.

It is an arithmetic number, because the mean of its divisors is an integer number (188587035).

Almost surely, 220076232320 is an apocalyptic number.

20076232320 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 20076232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36208710720).

20076232320 is an abundant number, since it is smaller than the sum of its proper divisors (52341189120).

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

20076232320 is an equidigital number, since it uses as much as digits as its factorization.

20076232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 20076232320 its reverse (2323267002), we get a palindrome (22399499322).

The spelling of 20076232320 in words is "twenty billion, seventy-six million, two hundred thirty-two thousand, three hundred twenty".