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669797767797966 = 2331729313742115209
BaseRepresentation
bin1001100001001011010111001…
…0000001010101110011001110
310020211120001010001221122111000
42120102311302001111303032
51200242431312024013331
610332312502514041130
7261040202041460433
oct23022656201256316
93224501101848430
10669797767797966
1118446670236a4a5
12631573652791a6
13229978738c9752
14bb58556391b8a
155267e9c7b10e6
hex2612d72055cce

669797767797966 has 512 divisors, whose sum is σ = 1729157953536000. Its totient is φ = 190953378201600.

The previous prime is 669797767797883. The next prime is 669797767797973.

669797767797966 is nontrivially palindromic in base 10.

It is a congruent 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 255 ways as a sum of consecutive naturals, for example, 128584709970 + ... + 128584715178.

It is an arithmetic number, because the mean of its divisors is an integer number (3377261628000).

Almost surely, 2669797767797966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 669797767797966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864578976768000).

669797767797966 is an abundant number, since it is smaller than the sum of its proper divisors (1059360185738034).

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

669797767797966 is a wasteful number, since it uses less digits than its factorization.

669797767797966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9539 counting only the distinct ones).

The product of its digits is 6002256212064, while the sum is 108.

The spelling of 669797767797966 in words is "six hundred sixty-nine trillion, seven hundred ninety-seven billion, seven hundred sixty-seven million, seven hundred ninety-seven thousand, nine hundred sixty-six".