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2144694636 = 2232717500629
BaseRepresentation
bin111111111010101…
…0111000101101100
312112110121202221200
41333311113011230
513343020212021
6552452125500
7104101414020
oct17765270554
95473552850
102144694636
11a00695907
124ba306890
132824394a6
14164ba2380
15c8445126
hex7fd5716c

2144694636 has 72 divisors (see below), whose sum is σ = 6560255520. Its totient is φ = 576723456.

The previous prime is 2144694631. The next prime is 2144694637. The reversal of 2144694636 is 6364964412.

2144694636 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 9 + 4 + 636 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144694591 and 2144694600.

It is not an unprimeable number, because it can be changed into a prime (2144694631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246031 + ... + 254598.

It is an arithmetic number, because the mean of its divisors is an integer number (91114660).

Almost surely, 22144694636 is an apocalyptic number.

It is an amenable number.

2144694636 is an abundant number, since it is smaller than the sum of its proper divisors (4415560884).

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

2144694636 is a wasteful number, since it uses less digits than its factorization.

2144694636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500663 (or 500658 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2144694636 is about 46310.8479300477. The cubic root of 2144694636 is about 1289.6003882109.

The spelling of 2144694636 in words is "two billion, one hundred forty-four million, six hundred ninety-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 500629 1001258 1501887 2002516 3003774 3504403 4505661 6007548 7008806 8510693 9011322 10513209 14017612 17021386 18022644 21026418 25532079 31539627 34042772 42052836 51064158 59574851 63079254 76596237 102128316 119149702 126158508 153192474 178724553 238299404 306384948 357449106 536173659 714898212 1072347318 2144694636