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20351907072 = 28397577
BaseRepresentation
bin10010111101000100…
…010111010100000000
31221112100201000000000
4102331010113110000
5313140042011242
613203300000000
71320224233020
oct227504272400
957470630000
1020351907072
1186a4137012
123b3b990000
131bc457ab83
14db0d2ba80
157e1acea4c
hex4bd117500

20351907072 has 360 divisors, whose sum is σ = 69761196736. Its totient is φ = 5804752896.

The previous prime is 20351907047. The next prime is 20351907077. The reversal of 20351907072 is 27070915302.

20351907072 is a `hidden beast` number, since 2 + 0 + 3 + 519 + 0 + 70 + 72 = 666.

It is a super-2 number, since 2×203519070722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20351907077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35271648 + ... + 35272224.

Almost surely, 220351907072 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 20351907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34880598368).

20351907072 is an abundant number, since it is smaller than the sum of its proper divisors (49409289664).

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

20351907072 is an frugal number, since it uses more digits than its factorization.

20351907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 20351907072 in words is "twenty billion, three hundred fifty-one million, nine hundred seven thousand, seventy-two".