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1275237181696 = 2816324332
BaseRepresentation
bin10010100011101010000…
…011110010100100000000
311111220121110201221112111
4102203222003302210000
5131343141204303241
62413500314305104
7161063365124002
oct22435203624400
94456543657474
101275237181696
114519091642a5
12187196428194
139333ca6602a
1445a16902372
1523289ea3c81
hex128ea0f2900

1275237181696 has 81 divisors (see below), whose sum is σ = 2567133980649. Its totient is φ = 632243294208.

The previous prime is 1275237181667. The next prime is 1275237181741. The reversal of 1275237181696 is 6961817325721.

The square root of 1275237181696 is 1129264.

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

It can be written as a sum of positive squares in only one way, i.e., 143004985600 + 1132232196096 = 378160^2 + 1064064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1275237181696.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2945120296 + ... + 2945120728.

Almost surely, 21275237181696 is an apocalyptic number.

1275237181696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1275237181696 is the 1129264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275237181696

1275237181696 is an abundant number, since it is smaller than the sum of its proper divisors (1291896798953).

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

1275237181696 is an frugal number, since it uses more digits than its factorization.

1275237181696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 598 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 58.

The spelling of 1275237181696 in words is "one trillion, two hundred seventy-five billion, two hundred thirty-seven million, one hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 163 256 326 433 652 866 1304 1732 2608 3464 5216 6928 10432 13856 20864 26569 27712 41728 53138 55424 70579 106276 110848 141158 187489 212552 282316 374978 425104 564632 749956 850208 1129264 1499912 1700416 2258528 2999824 3400832 4517056 5999648 6801664 9034112 11504377 11999296 18068224 23008754 23998592 30560707 46017508 47997184 61121414 92035016 122242828 184070032 244485656 368140064 488971312 736280128 977942624 1472560256 1955885248 2945120512 3911770496 4981395241 7823540992 9962790482 19925580964 39851161928 79702323856 159404647712 318809295424 637618590848 1275237181696