Search a number
-
+
15115593478417 is a prime number
BaseRepresentation
bin1101101111110101111110…
…0101000111000100010001
31222112000222200212111111221
43123331133211013010101
53440123213412302132
652052001403005041
73120031332432235
oct333753745070421
958460880774457
1015115593478417
1148a853a501823
121841605809781
138585184cc613
143a38548c65c5
151b32d0843e97
hexdbf5f947111

15115593478417 has 2 divisors, whose sum is σ = 15115593478418. Its totient is φ = 15115593478416.

The previous prime is 15115593478387. The next prime is 15115593478477. The reversal of 15115593478417 is 71487439551151.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12939567259921 + 2176026218496 = 3597161^2 + 1475136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15115593478417 is a prime.

It is a super-3 number, since 3×151155934784173 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (15115593478477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7557796739208 + 7557796739209.

It is an arithmetic number, because the mean of its divisors is an integer number (7557796739209).

Almost surely, 215115593478417 is an apocalyptic number.

It is an amenable number.

15115593478417 is a deficient number, since it is larger than the sum of its proper divisors (1).

15115593478417 is an equidigital number, since it uses as much as digits as its factorization.

15115593478417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168000, while the sum is 61.

The spelling of 15115593478417 in words is "fifteen trillion, one hundred fifteen billion, five hundred ninety-three million, four hundred seventy-eight thousand, four hundred seventeen".