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2114654336 = 27314091303
BaseRepresentation
bin111111000001011…
…0001000010000000
312110101002120101222
41332002301002000
513312322414321
6545500214212
7103255156664
oct17602610200
95411076358
102114654336
11995738113
124b023a368
1327914c072
14160bc28a4
15c59ae3ab
hex7e0b1080

2114654336 has 64 divisors (see below), whose sum is σ = 4362662400. Its totient is φ = 1019934720.

The previous prime is 2114654323. The next prime is 2114654351. The reversal of 2114654336 is 6334564112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2114654296 and 2114654305.

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, 1622261 + ... + 1623563.

It is an arithmetic number, because the mean of its divisors is an integer number (68166600).

Almost surely, 22114654336 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 2114654336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181331200).

2114654336 is an abundant number, since it is smaller than the sum of its proper divisors (2248008064).

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

2114654336 is a wasteful number, since it uses less digits than its factorization.

2114654336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 2114654336 is about 45985.3708911867. The cubic root of 2114654336 is about 1283.5509990198.

The spelling of 2114654336 in words is "two billion, one hundred fourteen million, six hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 409 496 818 992 1303 1636 1984 2606 3272 3968 5212 6544 10424 12679 13088 20848 25358 26176 40393 41696 50716 52352 80786 83392 101432 161572 166784 202864 323144 405728 532927 646288 811456 1065854 1292576 1622912 2131708 2585152 4263416 5170304 8526832 16520737 17053664 33041474 34107328 66082948 68214656 132165896 264331792 528663584 1057327168 2114654336