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12774991919776 = 251753736069641
BaseRepresentation
bin1011100111100110100011…
…0110101111101010100000
31200020021111011002201222121
42321321220312233222200
53133301140412413101
643100430020314024
72455651131440452
oct271715066575240
950207434081877
1012774991919776
1140859309937a9
121523a66b42914
137188a4563c48
143224548962d2
151724909960a1
hexb9e68dafaa0

12774991919776 has 96 divisors (see below), whose sum is σ = 27504364215888. Its totient is φ = 5817531432960.

The previous prime is 12774991919741. The next prime is 12774991919783. The reversal of 12774991919776 is 67791919947721.

It can be written as a sum of positive squares in 8 ways, for example, as 10458885360400 + 2316106559376 = 3234020^2 + 1521876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12774991919696 and 12774991919705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930085 + ... + 5139556.

Almost surely, 212774991919776 is an apocalyptic number.

12774991919776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12774991919776 is an abundant number, since it is smaller than the sum of its proper divisors (14729372296112).

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

12774991919776 is a wasteful number, since it uses less digits than its factorization.

12774991919776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6069794 (or 6069786 counting only the distinct ones).

The product of its digits is 756142128, while the sum is 79.

The spelling of 12774991919776 in words is "twelve trillion, seven hundred seventy-four billion, nine hundred ninety-one million, nine hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 53 68 73 106 136 146 212 272 292 424 544 584 848 901 1168 1241 1696 1802 2336 2482 3604 3869 4964 7208 7738 9928 14416 15476 19856 28832 30952 39712 61904 65773 123808 131546 263092 526184 1052368 2104736 6069641 12139282 24278564 48557128 97114256 103183897 194228512 206367794 321690973 412735588 443083793 643381946 825471176 886167586 1286763892 1650942352 1772335172 2573527784 3301884704 3544670344 5147055568 5468746541 7089340688 7532424481 10294111136 10937493082 14178681376 15064848962 21874986164 23483441029 30129697924 43749972328 46966882058 60259395848 87499944656 93933764116 120518791696 174999889312 187867528232 241037583392 375735056464 399218497493 751470112928 798436994986 1596873989972 3193747979944 6387495959888 12774991919776