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66710688 = 2531125743
BaseRepresentation
bin1111111001111…
…0110010100000
311122112020212020
43332132302200
5114034220223
610341501440
71440013542
oct376366240
9148466766
1066710688
1134724800
121a411880
1310a895a5
148c07692
155ccb1e3
hex3f9eca0

66710688 has 72 divisors (see below), whose sum is σ = 192515904. Its totient is φ = 20211840.

The previous prime is 66710671. The next prime is 66710717. The reversal of 66710688 is 88601766.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8745 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (2673832).

Almost surely, 266710688 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 66710688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96257952).

66710688 is an abundant number, since it is smaller than the sum of its proper divisors (125805216).

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

66710688 is a wasteful number, since it uses less digits than its factorization.

66710688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 66710688 is about 8167.6611095221. The cubic root of 66710688 is about 405.5693622816.

The spelling of 66710688 in words is "sixty-six million, seven hundred ten thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5743 5808 11486 11616 17229 22972 34458 45944 63173 68916 91888 126346 137832 183776 189519 252692 275664 379038 505384 551328 694903 758076 1010768 1389806 1516152 2021536 2084709 2779612 3032304 4169418 5559224 6064608 8338836 11118448 16677672 22236896 33355344 66710688