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66131264 = 266431607
BaseRepresentation
bin1111110001000…
…1010101000000
311121102211001002
43330101111000
5113412200024
610321231132
71432051343
oct374212500
9147384032
1066131264
1134369441
121a1924a8
1310915934
148ad645a
155c146ae
hex3f11540

66131264 has 28 divisors (see below), whose sum is σ = 131515104. Its totient is φ = 32993664.

The previous prime is 66131251. The next prime is 66131287. The reversal of 66131264 is 46213166.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40349 + ... + 41955.

It is an arithmetic number, because the mean of its divisors is an integer number (4696968).

Almost surely, 266131264 is an apocalyptic number.

66131264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66131264 is a deficient number, since it is larger than the sum of its proper divisors (65383840).

66131264 is a wasteful number, since it uses less digits than its factorization.

66131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2252 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 66131264 is about 8132.1131325136. The cubic root of 66131264 is about 404.3917384480.

The spelling of 66131264 in words is "sixty-six million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 643 1286 1607 2572 3214 5144 6428 10288 12856 20576 25712 41152 51424 102848 1033301 2066602 4133204 8266408 16532816 33065632 66131264