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679877916961 is a prime number
BaseRepresentation
bin10011110010010111110…
…00011011100100100001
32101222212212020200001011
421321023320123210201
542114342221320321
61240155343140521
7100056002641255
oct11711370334441
92358785220034
10679877916961
112423753a5901
12ab9218a4741
134c15c6b9229
1424c98b20265
1512a42773ae1
hex9e4be1b921

679877916961 has 2 divisors, whose sum is σ = 679877916962. Its totient is φ = 679877916960.

The previous prime is 679877916947. The next prime is 679877916967. The reversal of 679877916961 is 169619778976.

679877916961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 479617191936 + 200260725025 = 692544^2 + 447505^2 .

It is a cyclic number.

It is not a de Polignac number, because 679877916961 - 29 = 679877916449 is a prime.

It is a super-2 number, since 2×6798779169612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (679877916967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 339938958480 + 339938958481.

It is an arithmetic number, because the mean of its divisors is an integer number (339938958481).

Almost surely, 2679877916961 is an apocalyptic number.

It is an amenable number.

679877916961 is a deficient number, since it is larger than the sum of its proper divisors (1).

679877916961 is an equidigital number, since it uses as much as digits as its factorization.

679877916961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432081216, while the sum is 76.

The spelling of 679877916961 in words is "six hundred seventy-nine billion, eight hundred seventy-seven million, nine hundred sixteen thousand, nine hundred sixty-one".