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2315048639904 = 25327111331833121
BaseRepresentation
bin100001101100000011101…
…001101101110110100000
322012022112201102222210200
4201230003221231312200
5300412204422434104
64531304010425200
7326154030521220
oct41540351556640
98168481388720
102315048639904
11812896670a70
12314809132200
1313a40100c320
1480098478080
15403468acb39
hex21b03a6dda0

2315048639904 has 1152 divisors, whose sum is σ = 9237306064896. Its totient is φ = 530509824000.

The previous prime is 2315048639899. The next prime is 2315048639923. The reversal of 2315048639904 is 4099368405132.

2315048639904 is a `hidden beast` number, since 2 + 3 + 150 + 486 + 3 + 9 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×23150486399042 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 741763464 + ... + 741766584.

It is an arithmetic number, because the mean of its divisors is an integer number (8018494848).

Almost surely, 22315048639904 is an apocalyptic number.

2315048639904 is a gapful number since it is divisible by the number (24) 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 2315048639904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618653032448).

2315048639904 is an abundant number, since it is smaller than the sum of its proper divisors (6922257424992).

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

2315048639904 is a wasteful number, since it uses less digits than its factorization.

2315048639904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2315048639904 in words is "two trillion, three hundred fifteen billion, forty-eight million, six hundred thirty-nine thousand, nine hundred four".