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244872595968 = 29371113212251
BaseRepresentation
bin1110010000001110001…
…0110100101000000000
3212102001120222202002020
43210003202310220000
513002444341032333
6304254245321440
723456112502650
oct3440342645000
9772046882066
10244872595968
1194939218760
123b55b406280
131a125a13300
14bbcd868360
156582ae83b3
hex39038b4a00

244872595968 has 480 divisors, whose sum is σ = 880774912512. Its totient is φ = 58705920000.

The previous prime is 244872595963. The next prime is 244872595991. The reversal of 244872595968 is 869595278442.

It is a super-2 number, since 2×2448725959682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244872595963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19981843 + ... + 19994093.

Almost surely, 2244872595968 is an apocalyptic number.

244872595968 is a gapful number since it is divisible by the number (28) 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 244872595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440387456256).

244872595968 is an abundant number, since it is smaller than the sum of its proper divisors (635902316544).

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

244872595968 is a wasteful number, since it uses less digits than its factorization.

244872595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12316 (or 12287 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 69.

The spelling of 244872595968 in words is "two hundred forty-four billion, eight hundred seventy-two million, five hundred ninety-five thousand, nine hundred sixty-eight".