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665742859308072 = 2333713293159279137
BaseRepresentation
bin1001011101011111010101011…
…0101001000000110000101000
310020022012101200112020122122000
42113113311112221000300220
51144230012333440324242
610315530014124331000
7260141222450136360
oct22727652651006050
93208171615218560
10665742859308072
11183142a63220767
12628015146a3a60
1322762389162b10
14ba581aa8819a0
1551e7776083a4c
hex25d7d56a40c28

665742859308072 has 3072 divisors, whose sum is σ = 2521944391680000. Its totient is φ = 158073036226560.

The previous prime is 665742859308067. The next prime is 665742859308113. The reversal of 665742859308072 is 270803958247566.

665742859308072 is a `hidden beast` number, since 6 + 6 + 5 + 7 + 4 + 28 + 593 + 0 + 8 + 0 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4859436929188 + ... + 4859436929324.

It is an arithmetic number, because the mean of its divisors is an integer number (820945440000).

Almost surely, 2665742859308072 is an apocalyptic number.

665742859308072 is a gapful number since it is divisible by the number (62) 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 665742859308072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260972195840000).

665742859308072 is an abundant number, since it is smaller than the sum of its proper divisors (1856201532371928).

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

665742859308072 is a wasteful number, since it uses less digits than its factorization.

665742859308072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 665742859308072 in words is "six hundred sixty-five trillion, seven hundred forty-two billion, eight hundred fifty-nine million, three hundred eight thousand, seventy-two".