Search a number
-
+
690191389440 = 28325722353161
BaseRepresentation
bin10100000101100101001…
…11001101001100000000
32102222111121212100120100
422002302213031030000
542302002443430230
61245023004442400
7100602405004200
oct12026247151400
92388447770510
10690191389440
11246788056383
12b191b849400
1350114310777
1425596762400
1512e47e02660
hexa0b29cd300

690191389440 has 648 divisors, whose sum is σ = 2898697602528. Its totient is φ = 150896148480.

The previous prime is 690191389399. The next prime is 690191389441. The reversal of 690191389440 is 44983191096.

It is a happy number.

690191389440 is a `hidden beast` number, since 6 + 9 + 0 + 191 + 3 + 8 + 9 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (690191389441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12956460 + ... + 13009620.

Almost surely, 2690191389440 is an apocalyptic number.

690191389440 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 690191389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449348801264).

690191389440 is an abundant number, since it is smaller than the sum of its proper divisors (2208506213088).

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

690191389440 is a wasteful number, since it uses less digits than its factorization.

690191389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53225 (or 53201 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 690191389440 in words is "six hundred ninety billion, one hundred ninety-one million, three hundred eighty-nine thousand, four hundred forty".