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1306093189968 = 243271295727371
BaseRepresentation
bin10011000000011001001…
…110000111101101010000
311121212020212202120111200
4103000121032013231100
5132344334324034333
62440002205511200
7163235130636540
oct23003116075520
94555225676450
101306093189968
11463a02612a86
12191167b72500
13962195910a8
14473028d5320
1523e93d19c13
hex13019387b50

1306093189968 has 60 divisors (see below), whose sum is σ = 4177425047328. Its totient is φ = 373169482560.

The previous prime is 1306093189871. The next prime is 1306093189981. The reversal of 1306093189968 is 8699813906031.

1306093189968 is a `hidden beast` number, since 1 + 3 + 0 + 609 + 3 + 18 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×13060931899682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 647862678 + ... + 647864693.

Almost surely, 21306093189968 is an apocalyptic number.

1306093189968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1306093189968 is an abundant number, since it is smaller than the sum of its proper divisors (2871331857360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1306093189968 is a wasteful number, since it uses less digits than its factorization.

1306093189968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295727392 (or 1295727383 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1306093189968 in words is "one trillion, three hundred six billion, ninety-three million, one hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1295727371 2591454742 3887182113 5182909484 7774364226 9070091597 10365818968 11661546339 15548728452 18140183194 20731637936 23323092678 27210274791 31097456904 36280366388 46646185356 54420549582 62194913808 72560732776 81630824373 93292370712 108841099164 145121465552 163261648746 186584741424 217682198328 326523297492 435364396656 653046594984 1306093189968