Search a number
-
+
812482351296 = 26371131726717
BaseRepresentation
bin10111101001010111011…
…10001101000011000000
32212200011021212212220220
423310223232031003000
5101302430440220141
61421125500303040
7112462033015530
oct13645356150300
92780137785826
10812482351296
11293632119000
1211156a841a80
135b803027165
142b4780634c0
1516204091766
hexbd2bb8d0c0

812482351296 has 448 divisors, whose sum is σ = 2861351599104. Its totient is φ = 198613155840.

The previous prime is 812482351223. The next prime is 812482351357. The reversal of 812482351296 is 692153284218.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30397330 + ... + 30424046.

Almost surely, 2812482351296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812482351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430675799552).

812482351296 is an abundant number, since it is smaller than the sum of its proper divisors (2048869247808).

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

812482351296 is a wasteful number, since it uses less digits than its factorization.

812482351296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26789 (or 26757 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 812482351296 in words is "eight hundred twelve billion, four hundred eighty-two million, three hundred fifty-one thousand, two hundred ninety-six".