Search a number
-
+
15136486123601 is a prime number
BaseRepresentation
bin1101110001000011110011…
…1000001110100001010001
31222121000220202001211202102
43130100330320032201101
53440444010421423401
652105334500530145
73121401144123233
oct334207470164121
958530822054672
1015136486123601
11490639089a337
1218456766b0955
1385a497ac706b
143a4877572253
151b3b04b3756b
hexdc43ce0e851

15136486123601 has 2 divisors, whose sum is σ = 15136486123602. Its totient is φ = 15136486123600.

The previous prime is 15136486123523. The next prime is 15136486123669. The reversal of 15136486123601 is 10632168463151.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15011595270400 + 124890853201 = 3874480^2 + 353399^2 .

It is a cyclic number.

It is not a de Polignac number, because 15136486123601 - 210 = 15136486122577 is a prime.

It is a super-3 number, since 3×151364861236013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (15136486123691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7568243061800 + 7568243061801.

It is an arithmetic number, because the mean of its divisors is an integer number (7568243061801).

Almost surely, 215136486123601 is an apocalyptic number.

It is an amenable number.

15136486123601 is a deficient number, since it is larger than the sum of its proper divisors (1).

15136486123601 is an equidigital number, since it uses as much as digits as its factorization.

15136486123601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 15136486123601 in words is "fifteen trillion, one hundred thirty-six billion, four hundred eighty-six million, one hundred twenty-three thousand, six hundred one".