Search a number
-
+
690636987360 = 2536515713769
BaseRepresentation
bin10100000110011010010…
…11000001101111100000
32110000122200100002000000
422003031023001233200
542303411032043420
61245135123300000
7100616425350405
oct12031513015740
92400580302000
10690636987360
11246996635721
12b1a24b1a600
1350185728888
14255d99d62ac
1512e720c1690
hexa0cd2c1be0

690636987360 has 336 divisors, whose sum is σ = 2448532391760. Its totient is φ = 184003799040.

The previous prime is 690636987239. The next prime is 690636987367. The reversal of 690636987360 is 63789636096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690636987367) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 183239556 + ... + 183243324.

It is an arithmetic number, because the mean of its divisors is an integer number (7287298785).

Almost surely, 2690636987360 is an apocalyptic number.

690636987360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690636987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224266195880).

690636987360 is an abundant number, since it is smaller than the sum of its proper divisors (1757895404400).

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

690636987360 is a wasteful number, since it uses less digits than its factorization.

690636987360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 690636987360 in words is "six hundred ninety billion, six hundred thirty-six million, nine hundred eighty-seven thousand, three hundred sixty".