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66126039 = 3721747563
BaseRepresentation
bin1111110001000…
…0000011010111
311121102112212120
43330100003113
5113412013124
610321151023
71432030200
oct374200327
9147375776
1066126039
1134365521
121a18b473
1310913445
148ad45a7
155c12d79
hex3f100d7

66126039 has 48 divisors (see below), whose sum is σ = 111103488. Its totient is φ = 34745088.

The previous prime is 66126029. The next prime is 66126043. The reversal of 66126039 is 93062166.

It is a happy number.

66126039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66126039 - 27 = 66125911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66126019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 117172 + ... + 117734.

It is an arithmetic number, because the mean of its divisors is an integer number (2314656).

Almost surely, 266126039 is an apocalyptic number.

66126039 is a deficient number, since it is larger than the sum of its proper divisors (44977449).

66126039 is a wasteful number, since it uses less digits than its factorization.

66126039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66126039 is about 8131.7918689548. The cubic root of 66126039 is about 404.3810879006.

The spelling of 66126039 in words is "sixty-six million, one hundred twenty-six thousand, thirty-nine".

Divisors: 1 3 7 17 21 47 49 51 119 141 147 329 357 563 799 833 987 1689 2303 2397 2499 3941 5593 6909 9571 11823 16779 26461 27587 28713 39151 66997 79383 82761 117453 185227 200991 449837 468979 555681 1296589 1349511 1406937 3148859 3889767 9446577 22042013 66126039