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66973696 = 21283197
BaseRepresentation
bin1111111101111…
…1000000000000
311200000121122021
43333133000000
5114121124241
610351251224
71442160406
oct377370000
9150017567
1066973696
1134894369
121a519b14
1310b4c20a
148c75476
155d2e0d1
hex3fdf000

66973696 has 52 divisors (see below), whose sum is σ = 136232712. Its totient is φ = 32915456.

The previous prime is 66973679. The next prime is 66973703. The reversal of 66973696 is 69637966.

66973696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 339870 + ... + 340066.

Almost surely, 266973696 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 66973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68116356).

66973696 is an abundant number, since it is smaller than the sum of its proper divisors (69259016).

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

66973696 is an equidigital number, since it uses as much as digits as its factorization.

66973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 52.

The square root of 66973696 is about 8183.7458416058. The cubic root of 66973696 is about 406.1016513653.

The spelling of 66973696 in words is "sixty-six million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 197 256 332 394 512 664 788 1024 1328 1576 2048 2656 3152 4096 5312 6304 10624 12608 16351 21248 25216 32702 42496 50432 65404 84992 100864 130808 169984 201728 261616 339968 403456 523232 806912 1046464 2092928 4185856 8371712 16743424 33486848 66973696