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660507705066 = 2311411601152461
BaseRepresentation
bin10011001110010010101…
…00111011111011101010
32100010212220202221122210
421213021110323323222
541310204433030231
61223233312225550
765501665600266
oct11471124737352
92303786687583
10660507705066
1123513541aa20
12a801683b2b6
134a3936398a1
1423d7c3370a6
15122abe5ba46
hex99c953beea

660507705066 has 64 divisors (see below), whose sum is σ = 1477188461952. Its totient is φ = 195148800000.

The previous prime is 660507705007. The next prime is 660507705079.

660507705066 is nontrivially palindromic in base 10.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 4256076 + ... + 4408536.

It is an arithmetic number, because the mean of its divisors is an integer number (23081069718).

Almost surely, 2660507705066 is an apocalyptic number.

660507705066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 660507705066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738594230976).

660507705066 is an abundant number, since it is smaller than the sum of its proper divisors (816680756886).

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

660507705066 is a wasteful number, since it uses less digits than its factorization.

660507705066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154119.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 660507705066 in words is "six hundred sixty billion, five hundred seven million, seven hundred five thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1601 2706 3202 4803 9606 17611 35222 52833 65641 105666 131282 152461 196923 304922 393846 457383 722051 914766 1444102 1677071 2166153 3354142 4332306 5031213 6250901 10062426 12501802 18752703 37505406 68759911 137519822 206279733 244090061 412559466 488180122 732270183 1464540366 2684990671 5369981342 8054972013 10007692501 16109944026 20015385002 30023077503 60046155006 110084617511 220169235022 330253852533 660507705066