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83966250306 = 231131371675413
BaseRepresentation
bin100111000110011000…
…1110100110101000010
322000201202022110120110
41032030301310311002
52333430330002211
6102323520052150
76031522231401
oct1161461646502
9260652273513
1083966250306
11326788396a4
1214334164056
137bc1a6a8a3
1440c7825638
1522b67c8ea6
hex138cc74d42

83966250306 has 64 divisors (see below), whose sum is σ = 171708864768. Its totient is φ = 27368613888.

The previous prime is 83966250283. The next prime is 83966250307. The reversal of 83966250306 is 60305266938.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (83966250307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15509256 + ... + 15514668.

It is an arithmetic number, because the mean of its divisors is an integer number (2682951012).

Almost surely, 283966250306 is an apocalyptic number.

83966250306 is an abundant number, since it is smaller than the sum of its proper divisors (87742614462).

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

83966250306 is a wasteful number, since it uses less digits than its factorization.

83966250306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835.

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 83966250306 in words is "eighty-three billion, nine hundred sixty-six million, two hundred fifty thousand, three hundred six".

Divisors: 1 2 3 6 113 137 167 226 274 334 339 411 501 678 822 1002 5413 10826 15481 16239 18871 22879 30962 32478 37742 45758 46443 56613 68637 92886 113226 137274 611669 741581 903971 1223338 1483162 1807942 1835007 2224743 2585327 2711913 3670014 4449486 5170654 5423826 7755981 15511962 83798653 102148723 123844027 167597306 204297446 247688054 251395959 306446169 371532081 502791918 612892338 743064162 13994375051 27988750102 41983125153 83966250306