Search a number
-
+
2116027008 = 27327923251
BaseRepresentation
bin111111000100000…
…0000001010000000
312110110200022100200
41332020000022000
513313200331013
6545545445200
7103302634644
oct17610001200
95413608320
102116027008
11996495457
124b07a0800
1327950cab4
1416105cc24
15c5b80e73
hex7e200280

2116027008 has 96 divisors (see below), whose sum is σ = 6166430400. Its totient is φ = 696384000.

The previous prime is 2116027007. The next prime is 2116027019. The reversal of 2116027008 is 8007206112.

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

It is not an unprimeable number, because it can be changed into a prime (2116027007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79383 + ... + 102633.

It is an arithmetic number, because the mean of its divisors is an integer number (64233650).

Almost surely, 22116027008 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 2116027008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083215200).

2116027008 is an abundant number, since it is smaller than the sum of its proper divisors (4050403392).

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

2116027008 is a wasteful number, since it uses less digits than its factorization.

2116027008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23350 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2116027008 is about 46000.2935642807. The cubic root of 2116027008 is about 1283.8286666895.

The spelling of 2116027008 in words is "two billion, one hundred sixteen million, twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 5056 5688 7584 10112 11376 15168 22752 23251 30336 45504 46502 69753 91008 93004 139506 186008 209259 279012 372016 418518 558024 744032 837036 1116048 1488064 1674072 1836829 2232096 2976128 3348144 3673658 4464192 5510487 6696288 7347316 8928384 11020974 13392576 14694632 16531461 22041948 26785152 29389264 33062922 44083896 58778528 66125844 88167792 117557056 132251688 176335584 235114112 264503376 352671168 529006752 705342336 1058013504 2116027008