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20568157632 = 2638116173
BaseRepresentation
bin10011001001111101…
…010010110111000000
31222002102121200000000
4103021331102313000
5314110422021012
613240543000000
71325461312101
oct231175226700
958072550000
1020568157632
1187a5209290
123ba0299000
131c2a304a99
14dd19403a8
15805a98ddc
hex4c9f52dc0

20568157632 has 504 divisors, whose sum is σ = 68809374192. Its totient is φ = 6046617600.

The previous prime is 20568157627. The next prime is 20568157637. The reversal of 20568157632 is 23675186502.

20568157632 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 8 + 1 + 5 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (20568157627) and next prime (20568157637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20568157637) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 281755548 + ... + 281755620.

Almost surely, 220568157632 is an apocalyptic number.

20568157632 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 20568157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34404687096).

20568157632 is an abundant number, since it is smaller than the sum of its proper divisors (48241216560).

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

20568157632 is an frugal number, since it uses more digits than its factorization.

20568157632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20568157632 in words is "twenty billion, five hundred sixty-eight million, one hundred fifty-seven thousand, six hundred thirty-two".