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244351316640366 = 2341317317323912619
BaseRepresentation
bin110111100011110001111001…
…011011011100001001101110
31012001011202110101111020020000
4313203301321123130021232
5224011422444024442431
62223405240054405130
7102316541262510405
oct6743617133341156
91161152411436200
10244351316640366
11709488a2021771
12234a4b096607a6
13a6462cbc33810
14444a949ac463c
151d3b2126959e6
hexde3c796dc26e

244351316640366 has 640 divisors, whose sum is σ = 656084020838400. Its totient is φ = 67253705809920.

The previous prime is 244351316640359. The next prime is 244351316640371. The reversal of 244351316640366 is 663046613153442.

244351316640366 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 5 + 13 + 166 + 403 + 66 = 666.

It is a super-2 number, since 2×2443513166403662 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19363756005 + ... + 19363768623.

It is an arithmetic number, because the mean of its divisors is an integer number (1025131282560).

Almost surely, 2244351316640366 is an apocalyptic number.

244351316640366 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244351316640366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328042010419200).

244351316640366 is an abundant number, since it is smaller than the sum of its proper divisors (411732704198034).

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

244351316640366 is a wasteful number, since it uses less digits than its factorization.

244351316640366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 244351316640366 in words is "two hundred forty-four trillion, three hundred fifty-one billion, three hundred sixteen million, six hundred forty thousand, three hundred sixty-six".