Search a number
-
+
6701243637312 = 263273011551981
BaseRepresentation
bin110000110000100000100…
…1111110001111001000000
3212201122002012011021022100
41201201001033301321000
51334243121332343222
622130301523510400
71261102031040360
oct141410117617100
925648065137270
106701243637312
112153a88372184
129028b4b28400
13397c0335c4b3
141924b03429a0
15b94ac2ea4ac
hex618413f1e40

6701243637312 has 168 divisors, whose sum is σ = 21959221707072. Its totient is φ = 1914001689600.

The previous prime is 6701243637289. The next prime is 6701243637313. The reversal of 6701243637312 is 2137363421076.

6701243637312 is a `hidden beast` number, since 6 + 7 + 0 + 1 + 2 + 4 + 3 + 637 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×67012436373122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6701243637313) 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 23 ways as a sum of consecutive naturals, for example, 11864362 + ... + 12416342.

Almost surely, 26701243637312 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 6701243637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979610853536).

6701243637312 is an abundant number, since it is smaller than the sum of its proper divisors (15257978069760).

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

6701243637312 is a wasteful number, since it uses less digits than its factorization.

6701243637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555017 (or 555004 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 6701243637312 in words is "six trillion, seven hundred one billion, two hundred forty-three million, six hundred thirty-seven thousand, three hundred twelve".