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13124525344 = 257225732569
BaseRepresentation
bin11000011100100100…
…00101110100100000
31020212200002222010021
430032102011310200
5203334334302334
610010200043224
7643144424200
oct141622056440
936780088107
1013124525344
1156254a8167
122663463514
131312121638
148c7102400
1551c34d3b4
hex30e485d20

13124525344 has 72 divisors (see below), whose sum is σ = 30175388460. Its totient is φ = 5602738176.

The previous prime is 13124525339. The next prime is 13124525347. The reversal of 13124525344 is 44352542131.

It can be written as a sum of positive squares in 2 ways, for example, as 8306499600 + 4818025744 = 91140^2 + 69412^2 .

It is not an unprimeable number, because it can be changed into a prime (13124525347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386692 + ... + 419260.

Almost surely, 213124525344 is an apocalyptic number.

13124525344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13124525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087694230).

13124525344 is an abundant number, since it is smaller than the sum of its proper divisors (17050863116).

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

13124525344 is a wasteful number, since it uses less digits than its factorization.

13124525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32850 (or 32835 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The spelling of 13124525344 in words is "thirteen billion, one hundred twenty-four million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 257 392 514 784 1028 1568 1799 2056 3598 4112 7196 8224 12593 14392 25186 28784 32569 50372 57568 65138 100744 130276 201488 227983 260552 402976 455966 521104 911932 1042208 1595881 1823864 3191762 3647728 6383524 7295456 8370233 12767048 16740466 25534096 33480932 51068192 58591631 66961864 117183262 133923728 234366524 267847456 410141417 468733048 820282834 937466096 1640565668 1874932192 3281131336 6562262672 13124525344