Search a number
-
+
512222064516 = 223214228390681
BaseRepresentation
bin1110111010000101101…
…00000110111110000100
31210222010122011220211200
413131002310012332010
531343012322031031
61031151144302500
752002224465451
oct7350264067604
91728118156750
10512222064516
11188261002468
1283332171a30
13393c12c3906
141ab12528828
15d4cdb1a8e6
hex7742d06f84

512222064516 has 18 divisors (see below), whose sum is σ = 1294783552062. Its totient is φ = 170740688160.

The previous prime is 512222064511. The next prime is 512222064521. The reversal of 512222064516 is 615460222215.

512222064516 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 2 + 2 + 0 + 645 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (512222064511) and next prime (512222064521).

It can be written as a sum of positive squares in only one way, i.e., 316176791616 + 196045272900 = 562296^2 + 442770^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14228390681 = 512222064516 / (5 + 1 + 2 + 2 + 2 + 2 + 0 + 6 + 4 + 5 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (512222064511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7114195305 + ... + 7114195376.

It is an arithmetic number, because the mean of its divisors is an integer number (71932419559).

Almost surely, 2512222064516 is an apocalyptic number.

It is an amenable number.

512222064516 is an abundant number, since it is smaller than the sum of its proper divisors (782561487546).

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

512222064516 is a wasteful number, since it uses less digits than its factorization.

512222064516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228390691 (or 14228390686 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 512222064516 in words is "five hundred twelve billion, two hundred twenty-two million, sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 14228390681 28456781362 42685172043 56913562724 85370344086 128055516129 170740688172 256111032258 512222064516