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2123060456 = 2311194672719
BaseRepresentation
bin111111010001011…
…0101010011101000
312110221220122102202
41332202311103220
513322000413311
6550400315332
7103416500426
oct17642652350
95427818382
102123060456
1199a459820
124b3012b48
1327ab032ba
14161d70116
15c65bee3b
hex7e8b54e8

2123060456 has 64 divisors (see below), whose sum is σ = 4582656000. Its totient is φ = 911943360.

The previous prime is 2123060441. The next prime is 2123060473. The reversal of 2123060456 is 6540603212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779465 + ... + 782183.

It is an arithmetic number, because the mean of its divisors is an integer number (71604000).

Almost surely, 22123060456 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 2123060456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291328000).

2123060456 is an abundant number, since it is smaller than the sum of its proper divisors (2459595544).

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

2123060456 is a wasteful number, since it uses less digits than its factorization.

2123060456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2123060456 is about 46076.6801755508. The cubic root of 2123060456 is about 1285.2495300866.

Adding to 2123060456 its reverse (6540603212), we get a palindrome (8663663668).

The spelling of 2123060456 in words is "two billion, one hundred twenty-three million, sixty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 467 836 934 1672 1868 2719 3736 5137 5438 8873 10274 10876 17746 20548 21752 29909 35492 41096 51661 59818 70984 97603 103322 119636 195206 206644 239272 390412 413288 568271 780824 1136542 1269773 2273084 2539546 4546168 5079092 10158184 13967503 24125687 27935006 48251374 55870012 96502748 111740024 193005496 265382557 530765114 1061530228 2123060456