Search a number
-
+
828430288002 = 232232001039343
BaseRepresentation
bin11000000111000100100…
…10110000010010000010
32221012022201202000022100
430003202102300102002
5102033111123204002
61432324200051230
7113565163156032
oct14034222602202
92835281660270
10828430288002
1129a376333989
1211467b763b16
1360175081ab5
142c14c1218c2
151683920111c
hexc0e24b0482

828430288002 has 24 divisors (see below), whose sum is σ = 1872972825984. Its totient is φ = 264137193144.

The previous prime is 828430287991. The next prime is 828430288013. The reversal of 828430288002 is 200882034828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (828430287991) and next prime (828430288013).

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, 1000519258 + ... + 1000520085.

It is an arithmetic number, because the mean of its divisors is an integer number (78040534416).

Almost surely, 2828430288002 is an apocalyptic number.

828430288002 is an abundant number, since it is smaller than the sum of its proper divisors (1044542537982).

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

828430288002 is a wasteful number, since it uses less digits than its factorization.

828430288002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001039374 (or 2001039371 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 828430288002 in words is "eight hundred twenty-eight billion, four hundred thirty million, two hundred eighty-eight thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 2001039343 4002078686 6003118029 12006236058 18009354087 36018708174 46023904889 92047809778 138071714667 276143429334 414215144001 828430288002