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12407115897488 = 2413292056882609
BaseRepresentation
bin1011010010001100000110…
…1111000101101010010000
31121221002221020110112001002
42310203001233011222100
53111234233132204423
642215430024401132
72420245620026234
oct264430157055220
947832836415032
1012407115897488
113a53912520314
1214846ba0161a8
136bcca8352650
1430c716c6a5c4
15167b0e3c8228
hexb48c1bc5a90

12407115897488 has 40 divisors (see below), whose sum is σ = 26780611582200. Its totient is φ = 5528900450304.

The previous prime is 12407115897481. The next prime is 12407115897509. The reversal of 12407115897488 is 88479851170421.

It can be written as a sum of positive squares in 4 ways, for example, as 76006078864 + 12331109818624 = 275692^2 + 3511568^2 .

It is not an unprimeable number, because it can be changed into a prime (12407115897481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1028435273 + ... + 1028447336.

It is an arithmetic number, because the mean of its divisors is an integer number (669515289555).

Almost surely, 212407115897488 is an apocalyptic number.

It is an amenable number.

12407115897488 is an abundant number, since it is smaller than the sum of its proper divisors (14373495684712).

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

12407115897488 is a wasteful number, since it uses less digits than its factorization.

12407115897488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056882659 (or 2056882653 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 65.

The spelling of 12407115897488 in words is "twelve trillion, four hundred seven billion, one hundred fifteen million, eight hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 2056882609 4113765218 8227530436 16455060872 26739473917 32910121744 53478947834 59649595661 106957895668 119299191322 213915791336 238598382644 427831582672 477196765288 775444743593 954393530576 1550889487186 3101778974372 6203557948744 12407115897488