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15188968514801 is a prime number
BaseRepresentation
bin1101110100000111010100…
…0100101010010011110001
31222210001101022221112221002
43131001311010222103301
53442324001414433201
652145414340411345
73125236541105144
oct335016504522361
958701338845832
1015188968514801
114926672829664
1218538829a6b55
1386240cc3c303
143a721584c05b
151b51773ca76b
hexdd07512a4f1

15188968514801 has 2 divisors, whose sum is σ = 15188968514802. Its totient is φ = 15188968514800.

The previous prime is 15188968514719. The next prime is 15188968514857. The reversal of 15188968514801 is 10841586988151.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9684544000000 + 5504424514801 = 3112000^2 + 2346151^2 .

It is a cyclic number.

It is not a de Polignac number, because 15188968514801 - 218 = 15188968252657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (15188968514701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7594484257400 + 7594484257401.

It is an arithmetic number, because the mean of its divisors is an integer number (7594484257401).

Almost surely, 215188968514801 is an apocalyptic number.

It is an amenable number.

15188968514801 is a deficient number, since it is larger than the sum of its proper divisors (1).

15188968514801 is an equidigital number, since it uses as much as digits as its factorization.

15188968514801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22118400, while the sum is 65.

The spelling of 15188968514801 in words is "fifteen trillion, one hundred eighty-eight billion, nine hundred sixty-eight million, five hundred fourteen thousand, eight hundred one".