Search a number
-
+
679713372234 = 234132931237313
BaseRepresentation
bin10011110010000100001…
…00101111100001001010
32101222110101121221010000
421321002010233201022
542114023110402414
61240131144303430
7100051634223111
oct11710204574112
92358411557100
10679713372234
112422a0529a26
12ab896771b76
134c134596ca0
1424c80d2ac78
1512a330beb09
hex9e4212f84a

679713372234 has 480 divisors, whose sum is σ = 1806418650960. Its totient is φ = 189527869440.

The previous prime is 679713372227. The next prime is 679713372259. The reversal of 679713372234 is 432273317976.

679713372234 is a `hidden beast` number, since 6 + 7 + 9 + 71 + 337 + 2 + 234 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 143340231609 + 536373140625 = 378603^2 + 732375^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2171608062 + ... + 2171608374.

Almost surely, 2679713372234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679713372234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903209325480).

679713372234 is an abundant number, since it is smaller than the sum of its proper divisors (1126705278726).

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

679713372234 is a wasteful number, since it uses less digits than its factorization.

679713372234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 428 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The spelling of 679713372234 in words is "six hundred seventy-nine billion, seven hundred thirteen million, three hundred seventy-two thousand, two hundred thirty-four".