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245869285896 = 2333132315792411
BaseRepresentation
bin1110010011111011110…
…0111001001000001000
3212111122001102211122000
43210332330321020020
513012020014122041
6304541212031000
723522604306333
oct3447674711010
9774561384560
10245869285896
11952aa890643
123b799162460
131a254361970
14bc85d9361a
1565e0373bb6
hex393ef39208

245869285896 has 256 divisors, whose sum is σ = 768289536000. Its totient is φ = 72287043840.

The previous prime is 245869285843. The next prime is 245869285903. The reversal of 245869285896 is 698582968542.

245869285896 is a `hidden beast` number, since 2 + 458 + 6 + 9 + 2 + 85 + 8 + 96 = 666.

245869285896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 63 ways as a sum of consecutive naturals, for example, 101976931 + ... + 101979341.

It is an arithmetic number, because the mean of its divisors is an integer number (3001131000).

Almost surely, 2245869285896 is an apocalyptic number.

245869285896 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 245869285896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384144768000).

245869285896 is an abundant number, since it is smaller than the sum of its proper divisors (522420250104).

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

245869285896 is a wasteful number, since it uses less digits than its factorization.

245869285896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4031 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 245869285896 in words is "two hundred forty-five billion, eight hundred sixty-nine million, two hundred eighty-five thousand, eight hundred ninety-six".