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825705826314 = 23235983375553
BaseRepresentation
bin11000000001111111110…
…01110000100000001010
32220221021212012000110220
430000333321300200022
5102012021142420224
61431153553250510
7113440521502035
oct14007771604012
92827255160426
10825705826314
112991a845a556
1211403b263a36
135cb2c7b21a5
142bd7036201c
1516729e38279
hexc03fe7080a

825705826314 has 16 divisors (see below), whose sum is σ = 1723212159552. Its totient is φ = 263268524288.

The previous prime is 825705826279. The next prime is 825705826339. The reversal of 825705826314 is 413628507528.

It is a super-2 number, since 2×8257058263142 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991687639 + ... + 2991687914.

It is an arithmetic number, because the mean of its divisors is an integer number (107700759972).

Almost surely, 2825705826314 is an apocalyptic number.

825705826314 is an abundant number, since it is smaller than the sum of its proper divisors (897506333238).

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

825705826314 is a wasteful number, since it uses less digits than its factorization.

825705826314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983375581.

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 825705826314 in words is "eight hundred twenty-five billion, seven hundred five million, eight hundred twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 5983375553 11966751106 17950126659 35900253318 137617637719 275235275438 412852913157 825705826314