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4082163712 = 2131189509
BaseRepresentation
bin1111001101010000…
…1110000000000000
3101112111022101212121
43303110032000000
531330013214322
61513022534024
7203105550634
oct36324160000
911474271777
104082163712
111805303020
1295b137314
1350095b8b3
142aa220dc4
1518d5a4ec7
hexf350e000

4082163712 has 112 divisors (see below), whose sum is σ = 9023756400. Its totient is φ = 1831075840.

The previous prime is 4082163703. The next prime is 4082163733. The reversal of 4082163712 is 2173612804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8019714 + ... + 8020222.

Almost surely, 24082163712 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 4082163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511878200).

4082163712 is an abundant number, since it is smaller than the sum of its proper divisors (4941592688).

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

4082163712 is an equidigital number, since it uses as much as digits as its factorization.

4082163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4082163712 is about 63891.8125584178. The cubic root of 4082163712 is about 1598.1963675828.

The spelling of 4082163712 in words is "four billion, eighty-two million, one hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 256 352 356 509 512 704 712 979 1018 1024 1408 1424 1958 2036 2048 2816 2848 3916 4072 4096 5599 5632 5696 7832 8144 8192 11198 11264 11392 15664 16288 22396 22528 22784 31328 32576 44792 45056 45301 45568 62656 65152 89584 90112 90602 91136 125312 130304 179168 181204 182272 250624 260608 358336 362408 364544 498311 501248 521216 716672 724816 729088 996622 1002496 1042432 1433344 1449632 1993244 2004992 2084864 2866688 2899264 3986488 4009984 4169728 5733376 5798528 7972976 8019968 11466752 11597056 15945952 22933504 23194112 31891904 45867008 46388224 63783808 92776448 127567616 185552896 255135232 371105792 510270464 1020540928 2041081856 4082163712