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66717996 = 22317359911
BaseRepresentation
bin1111111010000…
…0100100101100
311122112121212220
43332200210230
5114034433441
610341555340
71440044052
oct376404454
9148477786
1066717996
113472a244
121a415b50
1310a8ca07
148c0a1d2
155ccd466
hex3fa092c

66717996 has 48 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 20849920.

The previous prime is 66717953. The next prime is 66718021. The reversal of 66717996 is 69971766.

66717996 = T19 + T20 + ... + T736.

66717996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72781 + ... + 73691.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 266717996 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 66717996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

66717996 is an abundant number, since it is smaller than the sum of its proper divisors (98755284).

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

66717996 is a wasteful number, since it uses less digits than its factorization.

66717996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1292 counting only the distinct ones).

The product of its digits is 857304, while the sum is 51.

The square root of 66717996 is about 8168.1084713659. The cubic root of 66717996 is about 405.5841714662.

The spelling of 66717996 in words is "sixty-six million, seven hundred seventeen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 359 718 911 1077 1436 1822 2154 2733 3644 4308 5466 6103 10932 12206 15487 18309 24412 30974 36618 46461 61948 73236 92922 185844 327049 654098 981147 1308196 1962294 3924588 5559833 11119666 16679499 22239332 33358998 66717996