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13628776991 is a prime number
BaseRepresentation
bin11001011000101011…
…01010001000011111
31022011210221121100012
430230111222020133
5210402431330431
610132211553435
7661506456464
oct145425521037
938153847305
1013628776991
1158640a8965
1227842bb87b
1313927349ab
1493408366b
1554b75622b
hex32c56a21f

13628776991 has 2 divisors, whose sum is σ = 13628776992. Its totient is φ = 13628776990.

The previous prime is 13628776963. The next prime is 13628777003. The reversal of 13628776991 is 19967782631.

13628776991 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 is a cyclic number.

It is not a de Polignac number, because 13628776991 - 210 = 13628775967 is a prime.

It is a super-2 number, since 2×136287769912 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13628776991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13628776591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814388495 + 6814388496.

It is an arithmetic number, because the mean of its divisors is an integer number (6814388496).

Almost surely, 213628776991 is an apocalyptic number.

13628776991 is a deficient number, since it is larger than the sum of its proper divisors (1).

13628776991 is an equidigital number, since it uses as much as digits as its factorization.

13628776991 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6858432, while the sum is 59.

The spelling of 13628776991 in words is "thirteen billion, six hundred twenty-eight million, seven hundred seventy-six thousand, nine hundred ninety-one".