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382868675694 = 236673390191
BaseRepresentation
bin1011001001001001100…
…00000101110001101110
31100121020202221221000000
411210210300011301232
522233103340110234
6451515404245130
736442562022051
oct5444460056156
91317222857000
10382868675694
1113841242793a
1262251b407a6
132a14838775b
1414760c9aa98
159e5c930899
hex5924c05c6e

382868675694 has 56 divisors (see below), whose sum is σ = 862342268832. Its totient is φ = 127432932480.

The previous prime is 382868675669. The next prime is 382868675723. The reversal of 382868675694 is 496576868283.

382868675694 is a `hidden beast` number, since 38 + 28 + 6 + 8 + 6 + 7 + 569 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 786139 + ... + 1176329.

Almost surely, 2382868675694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382868675694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431171134416).

382868675694 is an abundant number, since it is smaller than the sum of its proper divisors (479473593138).

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

382868675694 is an equidigital number, since it uses as much as digits as its factorization.

382868675694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390884 (or 390869 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 382868675694 in words is "three hundred eighty-two billion, eight hundred sixty-eight million, six hundred seventy-five thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 673 729 1346 1458 2019 4038 6057 12114 18171 36342 54513 109026 163539 327078 390191 490617 780382 981234 1170573 2341146 3511719 7023438 10535157 21070314 31605471 63210942 94816413 189632826 262598543 284449239 525197086 568898478 787795629 1575591258 2363386887 4726773774 7090160661 14180321322 21270481983 42540963966 63811445949 127622891898 191434337847 382868675694