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2136983968 = 25747202981
BaseRepresentation
bin111111101011111…
…1100100110100000
312111221010000220101
41333113330212200
513334031441333
6552014552144
7103646030650
oct17727744640
95457100811
102136983968
119a72a9759
124b7808654
13280969972
14163b56360
15c792067d
hex7f5fc9a0

2136983968 has 48 divisors (see below), whose sum is σ = 4910540544. Its totient is φ = 896359680.

The previous prime is 2136983939. The next prime is 2136983983. The reversal of 2136983968 is 8693896312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90963 + ... + 112018.

It is an arithmetic number, because the mean of its divisors is an integer number (102302928).

Almost surely, 22136983968 is an apocalyptic number.

2136983968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2136983968 is an abundant number, since it is smaller than the sum of its proper divisors (2773556576).

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

2136983968 is a wasteful number, since it uses less digits than its factorization.

2136983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203045 (or 203037 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The square root of 2136983968 is about 46227.5239224426. The cubic root of 2136983968 is about 1288.0530628963.

The spelling of 2136983968 in words is "two billion, one hundred thirty-six million, nine hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 202981 405962 811924 1420867 1623848 2841734 3247696 5683468 6495392 9540107 11366936 19080214 22733872 38160428 45467744 66780749 76320856 133561498 152641712 267122996 305283424 534245992 1068491984 2136983968