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2146825968 = 24376389363
BaseRepresentation
bin111111111110101…
…1111011011110000
312112121122001120220
41333331133123300
513344041412333
6553005533040
7104125501560
oct17775373360
95477561526
102146825968
11a01911141
124bab74180
13282a04631
14165198da0
15c87168b3
hex7ff5f6f0

2146825968 has 40 divisors (see below), whose sum is σ = 6338249088. Its totient is φ = 613378752.

The previous prime is 2146825963. The next prime is 2146825987. The reversal of 2146825968 is 8695286412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2146825968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146825963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3194346 + ... + 3195017.

Almost surely, 22146825968 is an apocalyptic number.

2146825968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2146825968 is an abundant number, since it is smaller than the sum of its proper divisors (4191423120).

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

2146825968 is a wasteful number, since it uses less digits than its factorization.

2146825968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389381 (or 6389375 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 2146825968 is about 46333.8533687843. The cubic root of 2146825968 is about 1290.0274352677.

The spelling of 2146825968 in words is "two billion, one hundred forty-six million, eight hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6389363 12778726 19168089 25557452 38336178 44725541 51114904 76672356 89451082 102229808 134176623 153344712 178902164 268353246 306689424 357804328 536706492 715608656 1073412984 2146825968