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13992287521 = 2323721392
BaseRepresentation
bin11010000100000000…
…10101110100100001
31100010010221212001011
431002000111310201
5212124011200041
610232235140521
71003512324112
oct150200256441
940103855034
1013992287521
115a30310793
122865ba4741
13141cb3b594
1496a46a209
1556d60ce81
hex342015d21

13992287521 has 27 divisors (see below), whose sum is σ = 15142039731. Its totient is φ = 12928514544.

The previous prime is 13992287509. The next prime is 13992287531. The reversal of 13992287521 is 12578229931.

The square root of 13992287521 is 118289.

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., 12520491025 + 1471796496 = 111895^2 + 38364^2 .

It is not a de Polignac number, because 13992287521 - 29 = 13992287009 is a prime.

It is a super-2 number, since 2×139922875212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13992287531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100663870 + ... + 100664008.

Almost surely, 213992287521 is an apocalyptic number.

13992287521 is the 118289-th square number.

13992287521 is the 59145-th centered octagonal number.

It is an amenable number.

13992287521 is a deficient number, since it is larger than the sum of its proper divisors (1149752210).

13992287521 is an frugal number, since it uses more digits than its factorization.

13992287521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

Multiplying 13992287521 by its sum of digits (49), we get a square (685622088529 = 8280232).

The spelling of 13992287521 in words is "thirteen billion, nine hundred ninety-two million, two hundred eighty-seven thousand, five hundred twenty-one".

Divisors: 1 23 37 139 529 851 1369 3197 5143 19321 19573 31487 73531 118289 190291 444383 714877 724201 2720647 4376693 10220809 16442171 26450449 100663939 378169933 608360327 13992287521