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1268090238769 = 17104971109193
BaseRepresentation
bin10010011101000000000…
…100010111011100110001
311111020011101111121221121
4102131000010113130301
5131234022100120034
62410315210422241
7160421313116464
oct22350004273461
94436141447847
101268090238769
114498809762a2
12185920a31981
1392771191813
14455396552db
1522ebc8111b4
hex12740117731

1268090238769 has 8 divisors (see below), whose sum is σ = 1343963766600. Its totient is φ = 1192358931456.

The previous prime is 1268090238757. The next prime is 1268090238773. The reversal of 1268090238769 is 9678320908621.

It can be written as a sum of positive squares in 4 ways, for example, as 1041430455025 + 226659783744 = 1020505^2 + 476088^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1268090238769 - 29 = 1268090238257 is a prime.

It is a super-2 number, since 2×12680902387692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268090238749) 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 in 7 ways as a sum of consecutive naturals, for example, 35536764 + ... + 35572429.

It is an arithmetic number, because the mean of its divisors is an integer number (167995470825).

Almost surely, 21268090238769 is an apocalyptic number.

It is an amenable number.

1268090238769 is a deficient number, since it is larger than the sum of its proper divisors (75873527831).

1268090238769 is a wasteful number, since it uses less digits than its factorization.

1268090238769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71110259.

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 1268090238769 in words is "one trillion, two hundred sixty-eight billion, ninety million, two hundred thirty-eight thousand, seven hundred sixty-nine".

Divisors: 1 17 1049 17833 71109193 1208856281 74593543457 1268090238769