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244661339087424 = 263576171518911
BaseRepresentation
bin110111101000010010101000…
…001101001110001001000000
31012002021101200101102022200000
4313220102220031032021000
5224032012410301244144
62224203511215400000
7102351125030025240
oct6750225015161100
91162241611368600
10244661339087424
1170a58322674866
122353500b523000
13a6696082aba6c
14445b959d4db20
151d44309b98769
hexde84a834e240

244661339087424 has 672 divisors, whose sum is σ = 856668881682432. Its totient is φ = 67788741888000.

The previous prime is 244661339087287. The next prime is 244661339087551. The reversal of 244661339087424 is 424780933166442.

244661339087424 is a `hidden beast` number, since 2 + 4 + 4 + 6 + 613 + 3 + 9 + 0 + 8 + 7 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2446613390874242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 471230529 + ... + 471749439.

It is an arithmetic number, because the mean of its divisors is an integer number (1274804883456).

Almost surely, 2244661339087424 is an apocalyptic number.

244661339087424 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 244661339087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428334440841216).

244661339087424 is an abundant number, since it is smaller than the sum of its proper divisors (612007542595008).

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

244661339087424 is an equidigital number, since it uses as much as digits as its factorization.

244661339087424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519077 (or 519055 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 244661339087424 in words is "two hundred forty-four trillion, six hundred sixty-one billion, three hundred thirty-nine million, eighty-seven thousand, four hundred twenty-four".