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78418410243889 = 6612133972
BaseRepresentation
bin10001110101001000110101…
…011111001000011100110001
3101021122201121211200211111111
4101311020311133020130301
540234301401010301024
6434440530443113321
722342354211033602
oct2165106537103461
9337581554624444
1078418410243889
1122a94074245451
12896601ab12841
13349aa94156921
1415516853a3da9
1590ec99746a94
hex4752357c8731

78418410243889 has 9 divisors (see below), whose sum is σ = 78543088482081. Its totient is φ = 78293929647120.

The previous prime is 78418410243871. The next prime is 78418410243907. The reversal of 78418410243889 is 98834201481487.

The square root of 78418410243889 is 8855417.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (78418410243871) and next prime (78418410243907).

It can be written as a sum of positive squares in 4 ways, for example, as 6307607135025 + 72110803108864 = 2511495^2 + 8491808^2 .

It is not a de Polignac number, because 78418410243889 - 211 = 78418410241841 is a prime.

It is a super-2 number, since 2×784184102438892 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78418410243809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5853423939 + ... + 5853437335.

Almost surely, 278418410243889 is an apocalyptic number.

78418410243889 is the 8855417-th square number.

78418410243889 is the 4427709-th centered octagonal number.

It is an amenable number.

78418410243889 is a deficient number, since it is larger than the sum of its proper divisors (124678238192).

78418410243889 is an frugal number, since it uses more digits than its factorization.

78418410243889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28116 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 67.

The spelling of 78418410243889 in words is "seventy-eight trillion, four hundred eighteen billion, four hundred ten million, two hundred forty-three thousand, eight hundred eighty-nine".

Divisors: 1 661 13397 436921 8855417 179479609 5853430637 118636021549 78418410243889