Search a number
-
+
6958314138596 = 2217102328149097
BaseRepresentation
bin110010101000001101111…
…0101111010101111100100
3220122012121212122210210112
41211100123311322233210
51403001111404413341
622444334432512152
71315502340201452
oct145203365725744
926565555583715
106958314138596
112243005a23717
129446993ab658
133b622120a052
141a0ad9bc39d2
15c1005c07aeb
hex6541bd7abe4

6958314138596 has 12 divisors (see below), whose sum is σ = 12893346786348. Its totient is φ = 3274500771072.

The previous prime is 6958314138569. The next prime is 6958314138623.

6958314138596 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6958314138569) and next prime (6958314138623).

It can be written as a sum of positive squares in 2 ways, for example, as 4494400000000 + 2463914138596 = 2120000^2 + 1569686^2 .

It is a Harshad number since it is a multiple of its sum of digits (68), and also a Moran number because the ratio is a prime number: 102328149097 = 6958314138596 / (6 + 9 + 5 + 8 + 3 + 1 + 4 + 1 + 3 + 8 + 5 + 9 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51164074481 + ... + 51164074616.

It is an arithmetic number, because the mean of its divisors is an integer number (1074445565529).

Almost surely, 26958314138596 is an apocalyptic number.

It is an amenable number.

6958314138596 is a deficient number, since it is larger than the sum of its proper divisors (5935032647752).

6958314138596 is a wasteful number, since it uses less digits than its factorization.

6958314138596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102328149118 (or 102328149116 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 68.

The spelling of 6958314138596 in words is "six trillion, nine hundred fifty-eight billion, three hundred fourteen million, one hundred thirty-eight thousand, five hundred ninety-six".

Divisors: 1 2 4 17 34 68 102328149097 204656298194 409312596388 1739578534649 3479157069298 6958314138596