Search a number
-
+
825844016142 = 232431066981933
BaseRepresentation
bin11000000010010000010…
…00111010010000001110
32220221122111012210021200
430001020020322100032
5102012312032004032
61431215411210330
7113444120212605
oct14011010722016
92827574183250
10825844016142
11299269465622
121140795a69a6
135cb52307612
142bd84854a3c
151673713347c
hexc04823a40e

825844016142 has 24 divisors (see below), whose sum is σ = 1830940998744. Its totient is φ = 268879446864.

The previous prime is 825844016119. The next prime is 825844016159. The reversal of 825844016142 is 241610448528.

825844016142 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 440 + 161 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533490193 + ... + 533491740.

It is an arithmetic number, because the mean of its divisors is an integer number (76289208281).

Almost surely, 2825844016142 is an apocalyptic number.

825844016142 is an abundant number, since it is smaller than the sum of its proper divisors (1005096982602).

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

825844016142 is a wasteful number, since it uses less digits than its factorization.

825844016142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066981984 (or 1066981981 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 825844016142 in words is "eight hundred twenty-five billion, eight hundred forty-four million, sixteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1066981933 2133963866 3200945799 6401891598 9602837397 19205674794 45880223119 91760446238 137640669357 275281338714 412922008071 825844016142