Search a number
-
+
1290118404817 = 11263371682521
BaseRepresentation
bin10010110001100001000…
…011001001101011010001
311120100000120101101222101
4102301201003021223101
5132114130302423232
62424401110440401
7162131223335104
oct22614103115321
94510016341871
101290118404817
1145815522a500
1218a04a063101
1394871ac5ab8
144662904873b
152385b6551e7
hex12c610c9ad1

1290118404817 has 12 divisors (see below), whose sum is σ = 1418288649988. Its totient is φ = 1172649139200.

The previous prime is 1290118404781. The next prime is 1290118404821. The reversal of 1290118404817 is 7184048110921.

It can be written as a sum of positive squares in 2 ways, for example, as 685916896401 + 604201508416 = 828201^2 + 777304^2 .

It is a de Polignac number, because none of the positive numbers 2k-1290118404817 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290118405817) 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 11 ways as a sum of consecutive naturals, for example, 74484 + ... + 1608037.

Almost surely, 21290118404817 is an apocalyptic number.

It is an amenable number.

1290118404817 is a deficient number, since it is larger than the sum of its proper divisors (128170245171).

1290118404817 is a wasteful number, since it uses less digits than its factorization.

1290118404817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688880 (or 1688869 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 46.

The spelling of 1290118404817 in words is "one trillion, two hundred ninety billion, one hundred eighteen million, four hundred four thousand, eight hundred seventeen".

Divisors: 1 11 121 6337 69707 766777 1682521 18507731 203585041 10662135577 117283491347 1290118404817