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2136319008 = 253171518669
BaseRepresentation
bin111111101010101…
…1010010000100000
312111212212020202020
41333111122100200
513333344202013
6551552421440
7103640261205
oct17725322040
95455766666
102136319008
119a69950aa
124b7547880
132807960b5
14163a21cac
15c783d623
hex7f55a420

2136319008 has 96 divisors (see below), whose sum is σ = 5977722240. Its totient is φ = 665702400.

The previous prime is 2136319007. The next prime is 2136319043. The reversal of 2136319008 is 8009136312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2136319008.

It is not an unprimeable number, because it can be changed into a prime (2136319001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242098 + ... + 250766.

It is an arithmetic number, because the mean of its divisors is an integer number (62267940).

Almost surely, 22136319008 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 2136319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988861120).

2136319008 is an abundant number, since it is smaller than the sum of its proper divisors (3841403232).

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

2136319008 is a wasteful number, since it uses less digits than its factorization.

2136319008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2136319008 is about 46220.3311108867. The cubic root of 2136319008 is about 1287.9194489444.

The spelling of 2136319008 in words is "two billion, one hundred thirty-six million, three hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 151 204 272 302 408 453 544 604 816 906 1208 1632 1812 2416 2567 3624 4832 5134 7248 7701 8669 10268 14496 15402 17338 20536 26007 30804 34676 41072 52014 61608 69352 82144 104028 123216 138704 147373 208056 246432 277408 294746 416112 442119 589492 832224 884238 1178984 1309019 1768476 2357968 2618038 3536952 3927057 4715936 5236076 7073904 7854114 10472152 14147808 15708228 20944304 22253323 31416456 41888608 44506646 62832912 66759969 89013292 125665824 133519938 178026584 267039876 356053168 534079752 712106336 1068159504 2136319008