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20664978048 = 273211131747157
BaseRepresentation
bin10011001111101110…
…101000101010000000
31222100011210122122100
4103033232220222000
5314310213244143
613254322110400
71331045262261
oct231756505200
958304718570
1020664978048
118844928960
1240087ab400
131c443a4280
141000744968
1580e3216d3
hex4cfba8a80

20664978048 has 768 divisors, whose sum is σ = 76026263040. Its totient is φ = 5290721280.

The previous prime is 20664978041. The next prime is 20664978053. The reversal of 20664978048 is 84087946602.

It is a junction number, because it is equal to n+sod(n) for n = 20664977985 and 20664978003.

It is not an unprimeable number, because it can be changed into a prime (20664978041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131623986 + ... + 131624142.

It is an arithmetic number, because the mean of its divisors is an integer number (98992530).

Almost surely, 220664978048 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 20664978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013131520).

20664978048 is an abundant number, since it is smaller than the sum of its proper divisors (55361284992).

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

20664978048 is a wasteful number, since it uses less digits than its factorization.

20664978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 20664978048 in words is "twenty billion, six hundred sixty-four million, nine hundred seventy-eight thousand, forty-eight".