Search a number
-
+
252805861644 = 223710159296249
BaseRepresentation
bin1110101101110001100…
…1110101000100001100
3220011112110211101200220
43223130121311010030
513120221300033034
6312045402551340
724156523240260
oct3533431650414
9804473741626
10252805861644
119823a355676
1240bb4208550
131aabb48c15b
14c3433200a0
156899310749
hex3adc67510c

252805861644 has 48 divisors (see below), whose sum is σ = 674217600000. Its totient is φ = 72222892416.

The previous prime is 252805861643. The next prime is 252805861661. The reversal of 252805861644 is 446168508252.

It is a happy number.

252805861644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252805861643) 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 15 ways as a sum of consecutive naturals, for example, 705232 + ... + 1001480.

It is an arithmetic number, because the mean of its divisors is an integer number (14046200000).

Almost surely, 2252805861644 is an apocalyptic number.

It is an amenable number.

252805861644 is an abundant number, since it is smaller than the sum of its proper divisors (421411738356).

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

252805861644 is a wasteful number, since it uses less digits than its factorization.

252805861644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306422 (or 306420 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 252805861644 in words is "two hundred fifty-two billion, eight hundred five million, eight hundred sixty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 10159 20318 30477 40636 60954 71113 121908 142226 213339 284452 296249 426678 592498 853356 888747 1184996 1777494 2073743 3554988 4147486 6221229 8294972 12442458 24884916 3009593591 6019187182 9028780773 12038374364 18057561546 21067155137 36115123092 42134310274 63201465411 84268620548 126402930822 252805861644