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666130407552576 = 26323761710972077
BaseRepresentation
bin1001011101110101111001001…
…0010100001111011001000000
310020100120110000102122022020100
42113131132102110033121000
51144302340033313140301
610320424030140242400
7260211222323643261
oct22735362224173100
93210513012568210
10666130407552576
1118328235709693a
1262864651840400
132278ca9bb768a5
14ba6cc5302c968
1552028a9723286
hex25dd79250f640

666130407552576 has 336 divisors, whose sum is σ = 1993401072402480. Its totient is φ = 212467777781760.

The previous prime is 666130407552569. The next prime is 666130407552587. The reversal of 666130407552576 is 675255704031666.

It can be written as a sum of positive squares in 8 ways, for example, as 180197762098176 + 485932645454400 = 13423776^2 + 22043880^2 .

It is a super-2 number, since 2×6661304075525762 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9241891450 + ... + 9241963526.

Almost surely, 2666130407552576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666130407552576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996700536201240).

666130407552576 is an abundant number, since it is smaller than the sum of its proper divisors (1327270664849904).

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

666130407552576 is a wasteful number, since it uses less digits than its factorization.

666130407552576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79302 (or 79289 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 666130407552576 in words is "six hundred sixty-six trillion, one hundred thirty billion, four hundred seven million, five hundred fifty-two thousand, five hundred seventy-six".