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13764034497357 = 323721117119917
BaseRepresentation
bin1100100001001011000001…
…1000110000101101001101
31210201211101020012102200200
43020102300120300231031
53301002220312403412
645135035443244113
72620263414565524
oct310226030605515
953654336172620
1013764034497357
114427326711a91
12166368b379639
1378ac34691c81
1435827b9534bb
1518d07a27d9dc
hexc84b0630b4d

13764034497357 has 18 divisors (see below), whose sum is σ = 20433240420138. Its totient is φ = 8928022368672.

The previous prime is 13764034497331. The next prime is 13764034497391. The reversal of 13764034497357 is 75379443046731.

It is a happy number.

13764034497357 is a `hidden beast` number, since 1 + 3 + 7 + 64 + 0 + 34 + 497 + 3 + 57 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7972412014116 + 5791622483241 = 2823546^2 + 2406579^2 .

It is not a de Polignac number, because 13764034497357 - 215 = 13764034464589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13764034497294 and 13764034497303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764034497307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 558547638 + ... + 558572279.

It is an arithmetic number, because the mean of its divisors is an integer number (1135180023341).

Almost surely, 213764034497357 is an apocalyptic number.

It is an amenable number.

13764034497357 is a deficient number, since it is larger than the sum of its proper divisors (6669205922781).

13764034497357 is a wasteful number, since it uses less digits than its factorization.

13764034497357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117119997 (or 1117119957 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 13764034497357 in words is "thirteen trillion, seven hundred sixty-four billion, thirty-four million, four hundred ninety-seven thousand, three hundred fifty-seven".

Divisors: 1 3 9 37 111 333 1369 4107 12321 1117119917 3351359751 10054079253 41333436929 124000310787 372000932361 1529337166373 4588011499119 13764034497357