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4106693984 = 252414391213
BaseRepresentation
bin1111010011000111…
…0010110101100000
3101121012110200002012
43310301302311200
531402303201414
61515300412052
7203524215521
oct36461626540
911535420065
104106693984
111818137a78
129673a7028
13505a6a053
142ad5a8848
151907ed33e
hexf4c72d60

4106693984 has 48 divisors (see below), whose sum is σ = 8143803360. Its totient is φ = 2038487040.

The previous prime is 4106693959. The next prime is 4106693989. The reversal of 4106693984 is 4893966014.

4106693984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106693989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3384962 + ... + 3386174.

It is an arithmetic number, because the mean of its divisors is an integer number (169662570).

Almost surely, 24106693984 is an apocalyptic number.

It is an amenable number.

4106693984 is a deficient number, since it is larger than the sum of its proper divisors (4037109376).

4106693984 is a wasteful number, since it uses less digits than its factorization.

4106693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 4106693984 is about 64083.4922893564. The cubic root of 4106693984 is about 1601.3912357721.

The spelling of 4106693984 in words is "four billion, one hundred six million, six hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 241 439 482 878 964 1213 1756 1928 2426 3512 3856 4852 7024 7712 9704 14048 19408 38816 105799 211598 292333 423196 532507 584666 846392 1065014 1169332 1692784 2130028 2338664 3385568 4260056 4677328 8520112 9354656 17040224 128334187 256668374 513336748 1026673496 2053346992 4106693984