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20727131136 = 2103171372897
BaseRepresentation
bin10011010011011011…
…101110110000000000
31222111111202100122120
4103103123232300000
5314422121144021
613304422204240
71332431464515
oct232333566000
958444670576
1020727131136
118876a1a448
124025583680
131c5422624a
141008ac330c
158149ec2c6
hex4d36eec00

20727131136 has 176 divisors, whose sum is σ = 58942398816. Its totient is φ = 6452936704.

The previous prime is 20727131129. The next prime is 20727131137. The reversal of 20727131136 is 63113172702.

It is a super-2 number, since 2×207271311362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20727131097 and 20727131106.

It is not an unprimeable number, because it can be changed into a prime (20727131137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7153240 + ... + 7156136.

Almost surely, 220727131136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20727131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29471199408).

20727131136 is an abundant number, since it is smaller than the sum of its proper divisors (38215267680).

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

20727131136 is a wasteful number, since it uses less digits than its factorization.

20727131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 20727131136 in words is "twenty billion, seven hundred twenty-seven million, one hundred thirty-one thousand, one hundred thirty-six".