Search a number
-
+
858144112185261 = 31138210036805639
BaseRepresentation
bin1100001100011110100011111…
…0111110010000111110101101
311011112102202221122120102201210
43003013220332332100332231
51344434313120204412021
612241041543543425033
7345516603036564066
oct30307507676207655
94145382848512653
10858144112185261
11229481968615370
12802b60b2a55179
132aaaa8478b5215
14111ca57a56156d
15693246ea88e76
hex30c7a3ef90fad

858144112185261 has 16 divisors (see below), whose sum is σ = 1248210127802880. Its totient is φ = 520087128185520.

The previous prime is 858144112185133. The next prime is 858144112185287. The reversal of 858144112185261 is 162581211441858.

It is not a de Polignac number, because 858144112185261 - 27 = 858144112185133 is a prime.

It is a super-2 number, since 2×8581441121852612 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (858144112189261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122690280 + ... + 129495918.

It is an arithmetic number, because the mean of its divisors is an integer number (78013132987680).

Almost surely, 2858144112185261 is an apocalyptic number.

It is an amenable number.

858144112185261 is a deficient number, since it is larger than the sum of its proper divisors (390066015617619).

858144112185261 is a wasteful number, since it uses less digits than its factorization.

858144112185261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626656.

The product of its digits is 4915200, while the sum is 57.

It can be divided in two parts, 8581441 and 12185261, that added together give a palindrome (20766702).

The spelling of 858144112185261 in words is "eight hundred fifty-eight trillion, one hundred forty-four billion, one hundred twelve million, one hundred eighty-five thousand, two hundred sixty-one".

Divisors: 1 3 11 33 3821003 6805639 11463009 20416917 42031033 74862029 126093099 224586087 26004367035917 78013101107751 286048037395087 858144112185261