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12715657552 = 24131731311489
BaseRepresentation
bin10111101011110100…
…11000100101010000
31012211011202022221201
423311322120211100
5202020202020202
65501432400544
7630051206623
oct136572304520
935734668851
1012715657552
1154357257a4
12256a546154
1312784c6930
14888aaddba
154e64d7387
hex2f5e98950

12715657552 has 80 divisors (see below), whose sum is σ = 28184602320. Its totient is φ = 5505417216.

The previous prime is 12715657543. The next prime is 12715657561. The reversal of 12715657552 is 25575651721.

12715657552 is nontrivially palindromic in base 5.

12715657552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12715657543) and next prime (12715657561).

It can be written as a sum of positive squares in 8 ways, for example, as 3433491216 + 9282166336 = 58596^2 + 96344^2 .

12715657552 is an undulating number in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101024 + ... + 1112512.

It is an arithmetic number, because the mean of its divisors is an integer number (352307529).

Almost surely, 212715657552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12715657552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092301160).

12715657552 is an abundant number, since it is smaller than the sum of its proper divisors (15468944768).

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

12715657552 is a wasteful number, since it uses less digits than its factorization.

12715657552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840 (or 11834 counting only the distinct ones).

The product of its digits is 735000, while the sum is 46.

The spelling of 12715657552 in words is "twelve billion, seven hundred fifteen million, six hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 313 442 626 884 1252 1768 2504 3536 4069 5008 5321 8138 10642 11489 16276 21284 22978 32552 42568 45956 65104 69173 85136 91912 138346 149357 183824 195313 276692 298714 390626 553384 597428 781252 1106768 1194856 1562504 2389712 2539069 3125008 3596057 5078138 7192114 10156276 14384228 20312552 28768456 40625104 46748741 57536912 61132969 93497482 122265938 186994964 244531876 373989928 489063752 747979856 794728597 978127504 1589457194 3178914388 6357828776 12715657552