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2664339713280 = 2835573733073
BaseRepresentation
bin100110110001010111000…
…001011010110100000000
3100102201010102012222200000
4212301113001122310000
5322123031431311110
65355551502400000
7363330551616060
oct46612701326400
910381112188600
102664339713280
11937a38344243
12370449b90000
13164327a6442b
1492d51acb3a0
154948b5791c0
hex26c5705ad00

2664339713280 has 864 divisors, whose sum is σ = 11221058843904. Its totient is φ = 592514777088.

The previous prime is 2664339713267. The next prime is 2664339713281. The reversal of 2664339713280 is 823179334662.

2664339713280 is a `hidden beast` number, since 2 + 6 + 6 + 43 + 397 + 132 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×26643397132802 (a number of 26 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 not an unprimeable number, because it can be changed into a prime (2664339713281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80542824 + ... + 80575896.

Almost surely, 22664339713280 is an apocalyptic number.

2664339713280 is a gapful number since it is divisible by the number (20) 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 2664339713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610529421952).

2664339713280 is an abundant number, since it is smaller than the sum of its proper divisors (8556719130624).

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

2664339713280 is an equidigital number, since it uses as much as digits as its factorization.

2664339713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33153 (or 33127 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2664339713280 in words is "two trillion, six hundred sixty-four billion, three hundred thirty-nine million, seven hundred thirteen thousand, two hundred eighty".