Search a number
-
+
1079686154401 is a prime number
BaseRepresentation
bin11111011011000100100…
…11110100100010100001
310211012212011222111020221
433231202103310202201
5120142144123420101
62144000113203041
7141001425613621
oct17554223644241
93735764874227
101079686154401
1138698a761148
12155300860481
137aa773957aa
143a385646881
151d1423ddaa1
hexfb624f48a1

1079686154401 has 2 divisors, whose sum is σ = 1079686154402. Its totient is φ = 1079686154400.

The previous prime is 1079686154329. The next prime is 1079686154431. The reversal of 1079686154401 is 1044516869701.

It is a happy number.

1079686154401 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., 654927644176 + 424758510225 = 809276^2 + 651735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1079686154401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1079686154431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 539843077200 + 539843077201.

It is an arithmetic number, because the mean of its divisors is an integer number (539843077201).

Almost surely, 21079686154401 is an apocalyptic number.

It is an amenable number.

1079686154401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1079686154401 is an equidigital number, since it uses as much as digits as its factorization.

1079686154401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 1079686154401 in words is "one trillion, seventy-nine billion, six hundred eighty-six million, one hundred fifty-four thousand, four hundred one".