Search a number
-
+
1275193740336 = 243711129331423
BaseRepresentation
bin10010100011100111011…
…110000100110000110000
311111220111102222220012020
4102203213132010300300
5131343044044142321
62413452123231440
7161062326643545
oct22434736046060
94456442886166
101275193740336
1145189669314a
12187183978580
1393333a65c99
1445a10c34bcc
15232862724c6
hex128e7784c30

1275193740336 has 80 divisors (see below), whose sum is σ = 3343617423360. Its totient is φ = 418705297920.

The previous prime is 1275193740287. The next prime is 1275193740349. The reversal of 1275193740336 is 6330473915721.

It is a super-2 number, since 2×12751937403362 (a number of 25 digits) contains 22 as substring.

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, 3681921 + ... + 4013343.

It is an arithmetic number, because the mean of its divisors is an integer number (41795217792).

Almost surely, 21275193740336 is an apocalyptic number.

1275193740336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275193740336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671808711680).

1275193740336 is an abundant number, since it is smaller than the sum of its proper divisors (2068423683024).

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

1275193740336 is a wasteful number, since it uses less digits than its factorization.

1275193740336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332634 (or 332628 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 1275193740336 in words is "one trillion, two hundred seventy-five billion, one hundred ninety-three million, seven hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1129 1136 1704 2258 3387 3408 4516 6774 9032 13548 18064 27096 54192 80159 160318 240477 320636 331423 480954 641272 662846 961908 994269 1282544 1325692 1923816 1988538 2651384 3847632 3977076 5302768 7954152 15908304 23531033 47062066 70593099 94124132 141186198 188248264 282372396 374176567 376496528 564744792 748353134 1122529701 1129489584 1496706268 2245059402 2993412536 4490118804 5986825072 8980237608 17960475216 26566536257 53133072514 79699608771 106266145028 159399217542 212532290056 318798435084 425064580112 637596870168 1275193740336