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12744291431 = 1511632272281
BaseRepresentation
bin10111101111001111…
…00111010001100111
31012220011122002020202
423313213213101213
5202100014311211
65504334221115
7630546455414
oct136747472147
935804562222
1012744291431
11544a902863
12257805479b
131281410b61
1488c80510b
154e8c9153b
hex2f79e7467

12744291431 has 16 divisors (see below), whose sum is σ = 12969938688. Its totient is φ = 12521304000.

The previous prime is 12744291397. The next prime is 12744291503. The reversal of 12744291431 is 13419244721.

It is a cyclic number.

It is not a de Polignac number, because 12744291431 - 222 = 12740097127 is a prime.

It is a super-2 number, since 2×127442914312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12744291031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5586011 + ... + 5588291.

It is an arithmetic number, because the mean of its divisors is an integer number (810621168).

Almost surely, 212744291431 is an apocalyptic number.

12744291431 is a deficient number, since it is larger than the sum of its proper divisors (225647257).

12744291431 is a wasteful number, since it uses less digits than its factorization.

12744291431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822.

The product of its digits is 48384, while the sum is 38.

The spelling of 12744291431 in words is "twelve billion, seven hundred forty-four million, two hundred ninety-one thousand, four hundred thirty-one".

Divisors: 1 151 163 227 2281 24613 34277 37001 344431 371803 517787 5587151 56142253 78185837 84399281 12744291431