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66769608 = 23317374423
BaseRepresentation
bin1111111010110…
…1001011001000
311122122020200110
43332231023020
5114043111413
610343034320
71440350403
oct376551310
9148566613
1066769608
1134764aa4
121a43b9a0
1310aaa359
148c20d3a
155cdd8c3
hex3fad2c8

66769608 has 64 divisors (see below), whose sum is σ = 181560960. Its totient is φ = 20376576.

The previous prime is 66769603. The next prime is 66769609. The reversal of 66769608 is 80696766.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66769601) 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, 12885 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (2836890).

Almost surely, 266769608 is an apocalyptic number.

66769608 is a gapful number since it is divisible by the number (68) 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 66769608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90780480).

66769608 is an abundant number, since it is smaller than the sum of its proper divisors (114791352).

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

66769608 is a wasteful number, since it uses less digits than its factorization.

66769608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 66769608 is about 8171.2672211842. The cubic root of 66769608 is about 405.6887290370.

The spelling of 66769608 in words is "sixty-six million, seven hundred sixty-nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 3774 4423 5032 7548 8846 13269 15096 17692 26538 35384 53076 75191 106152 150382 163651 225573 300764 327302 451146 490953 601528 654604 902292 981906 1309208 1804584 1963812 2782067 3927624 5564134 8346201 11128268 16692402 22256536 33384804 66769608