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66392645281 = 6125127116001
BaseRepresentation
bin111101110101010011…
…110101111010100001
320100101000110211111021
4331311103311322201
52041433004122111
650300024445441
74540162113334
oct756523657241
9210330424437
1066392645281
112617aa10086
1210a4a919881
136350c90a31
1432db8b061b
151ad8a99d71
hexf754f5ea1

66392645281 has 16 divisors (see below), whose sum is σ = 68004147456. Its totient is φ = 64800000000.

The previous prime is 66392645239. The next prime is 66392645311. The reversal of 66392645281 is 18254629366.

It is a 8-Lehmer number, since φ(66392645281) divides (66392645281-1)8.

It is a cyclic number.

It is not a de Polignac number, because 66392645281 - 221 = 66390548129 is a prime.

It is a super-2 number, since 2×663926452812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66392645381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4141281 + ... + 4157281.

It is an arithmetic number, because the mean of its divisors is an integer number (4250259216).

Almost surely, 266392645281 is an apocalyptic number.

66392645281 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

66392645281 is the 115233-rd centered decagonal number.

It is an amenable number.

66392645281 is a deficient number, since it is larger than the sum of its proper divisors (1611502175).

66392645281 is a wasteful number, since it uses less digits than its factorization.

66392645281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16584.

The product of its digits is 3732480, while the sum is 52.

The spelling of 66392645281 in words is "sixty-six billion, three hundred ninety-two million, six hundred forty-five thousand, two hundred eighty-one".

Divisors: 1 61 251 271 15311 16001 16531 68021 976061 4016251 4149281 4336271 244991311 264512531 1088404021 66392645281