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20972323008 = 263572132973
BaseRepresentation
bin10011100010000011…
…000100000011000000
32000010121010101200000
4103202003010003000
5320422403314013
613345021400000
71341466542600
oct234203040300
960117111600
1020972323008
11899236975a
124093709000
131c92c742b0
14102d4aac00
1582b2d1973
hex4e20c40c0

20972323008 has 1008 divisors, whose sum is σ = 81895675680. Its totient is φ = 5267275776.

The previous prime is 20972323007. The next prime is 20972323069. The reversal of 20972323008 is 80032327902.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (20972323007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287292060 + ... + 287292132.

It is an arithmetic number, because the mean of its divisors is an integer number (81245710).

Almost surely, 220972323008 is an apocalyptic number.

20972323008 is a gapful number since it is divisible by the number (28) 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 20972323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947837840).

20972323008 is an abundant number, since it is smaller than the sum of its proper divisors (60923352672).

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

20972323008 is a wasteful number, since it uses less digits than its factorization.

20972323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20972323008 in words is "twenty billion, nine hundred seventy-two million, three hundred twenty-three thousand, eight".