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1193466666681 = 322944332
BaseRepresentation
bin10001010111100000001…
…010000001111010111001
311020002112202002101112100
4101113200022001322321
5124023204431313211
62312134312334013
7152140134200022
oct21274012017271
94202482071470
101193466666681
11420167902073
121733756a4309
138870ab958c3
1441a9a967c49
15210a1353156
hex115e0281eb9

1193466666681 has 45 divisors (see below), whose sum is σ = 1789596930459. Its totient is φ = 766434275712.

The previous prime is 1193466666611. The next prime is 1193466666719. The reversal of 1193466666681 is 1866666643911.

The square root of 1193466666681 is 1092459.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1020756605625 + 172710061056 = 1010325^2 + 415584^2 .

It is not a de Polignac number, because 1193466666681 - 215 = 1193466633913 is a prime.

It is a super-2 number, since 2×11934666666812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1193466666611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2756273841 + ... + 2756274273.

Almost surely, 21193466666681 is an apocalyptic number.

1193466666681 is the 1092459-th square number.

1193466666681 is the 546230-th centered octagonal number.

It is an amenable number.

1193466666681 is a deficient number, since it is larger than the sum of its proper divisors (596130263778).

1193466666681 is an frugal number, since it uses more digits than its factorization.

1193466666681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 465 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 1193466666681 in words is "one trillion, one hundred ninety-three billion, four hundred sixty-six million, six hundred sixty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 29 87 261 433 841 1299 2523 3897 7569 12557 24389 37671 73167 113013 187489 219501 364153 562467 707281 1092459 1687401 2121843 3277377 5437181 6365529 10560437 16311543 31681311 48934629 95043933 157678249 306252673 473034747 918758019 1419104241 2756274057 4572669221 13718007663 41154022989 132607407409 397822222227 1193466666681