Search a number
-
+
56767516764991 is a prime number
BaseRepresentation
bin11001110100001001101111…
…01010111110101100111111
321102222220212211220020121121
430322010313222332230333
524420034333242434431
6320422345344211411
714646213661663264
oct1472046752765477
9242886784806547
1056767516764991
11170a6a72318a6a
126449b12609b67
13258a200057a06
1410037c35c926b
156869c0297611
hex33a137abeb3f

56767516764991 has 2 divisors, whose sum is σ = 56767516764992. Its totient is φ = 56767516764990.

The previous prime is 56767516764977. The next prime is 56767516765129. The reversal of 56767516764991 is 19946761576765.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 56767516764991 - 221 = 56767514667839 is a prime.

It is a super-3 number, since 3×567675167649913 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (56767516764961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28383758382495 + 28383758382496.

It is an arithmetic number, because the mean of its divisors is an integer number (28383758382496).

Almost surely, 256767516764991 is an apocalyptic number.

56767516764991 is a deficient number, since it is larger than the sum of its proper divisors (1).

56767516764991 is an equidigital number, since it uses as much as digits as its factorization.

56767516764991 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600676800, while the sum is 79.

The spelling of 56767516764991 in words is "fifty-six trillion, seven hundred sixty-seven billion, five hundred sixteen million, seven hundred sixty-four thousand, nine hundred ninety-one".