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18848480315040 = 253457319922713
BaseRepresentation
bin1000100100100100000001…
…11110010100011010100000
32110201220020000000120110000
410102102000332110122200
54432303141430040130
6104030512230540000
73653520625136115
oct422220076243240
973656200016400
1018848480315040
116007660839212
122144b65b07600
13a6953397389c
144923b26b890c
1522a45b408260
hex112480f946a0

18848480315040 has 240 divisors, whose sum is σ = 67430656876968. Its totient is φ = 4957408272384.

The previous prime is 18848480315017. The next prime is 18848480315051. The reversal of 18848480315040 is 4051308484881.

18848480315040 is a `hidden beast` number, since 1 + 8 + 8 + 4 + 8 + 480 + 3 + 150 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14791623696144 + 4056856618896 = 3845988^2 + 2014164^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9015277 + ... + 10907436.

Almost surely, 218848480315040 is an apocalyptic number.

18848480315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18848480315040 is an abundant number, since it is smaller than the sum of its proper divisors (48582176561928).

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

18848480315040 is a wasteful number, since it uses less digits than its factorization.

18848480315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19922813 (or 19922796 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 18848480315040 in words is "eighteen trillion, eight hundred forty-eight billion, four hundred eighty million, three hundred fifteen thousand, forty".