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20476624896 = 215327213109
BaseRepresentation
bin10011000100100000…
…001000000000000000
31221212001101022200200
4103010200020000000
5313414003444041
613223513045200
71323300303600
oct230440100000
957761338620
1020476624896
1187585803a2
123b756b6800
131c143672c0
14dc3714c00
157eca181b6
hex4c4808000

20476624896 has 576 divisors, whose sum is σ = 74784609900. Its totient is φ = 5350883328.

The previous prime is 20476624867. The next prime is 20476624907. The reversal of 20476624896 is 69842667402.

20476624896 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 6 + 624 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20295991296 + 180633600 = 142464^2 + 13440^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187858890 + ... + 187858998.

Almost surely, 220476624896 is an apocalyptic number.

20476624896 is a gapful number since it is divisible by the number (26) 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 20476624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37392304950).

20476624896 is an abundant number, since it is smaller than the sum of its proper divisors (54307985004).

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

20476624896 is a wasteful number, since it uses less digits than its factorization.

20476624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 20476624896 in words is "twenty billion, four hundred seventy-six million, six hundred twenty-four thousand, eight hundred ninety-six".