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2114261064 = 233229364737
BaseRepresentation
bin111111000000101…
…0001000001001000
312110100100120221100
41332001101001020
513312222323224
6545443541400
7103251631266
oct17601210110
95410316840
102114261064
119954996a3
124b008a860
13279042066
14160b1d436
15c5932ac9
hex7e051048

2114261064 has 24 divisors (see below), whose sum is σ = 5726123910. Its totient is φ = 704753664.

The previous prime is 2114261059. The next prime is 2114261077. The reversal of 2114261064 is 4601624112.

2114261064 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 610 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1623284100 + 490976964 = 40290^2 + 22158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 14682297 + ... + 14682440.

Almost surely, 22114261064 is an apocalyptic number.

2114261064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114261064 is an abundant number, since it is smaller than the sum of its proper divisors (3611862846).

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

2114261064 is a wasteful number, since it uses less digits than its factorization.

2114261064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29364749 (or 29364742 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2114261064 is about 45981.0946368179. The cubic root of 2114261064 is about 1283.4714247910.

Adding to 2114261064 its reverse (4601624112), we get a palindrome (6715885176).

The spelling of 2114261064 in words is "two billion, one hundred fourteen million, two hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29364737 58729474 88094211 117458948 176188422 234917896 264282633 352376844 528565266 704753688 1057130532 2114261064