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1321258517072 = 24136352204409
BaseRepresentation
bin10011001110100001001…
…001010000001001010000
311200022101210000000100022
4103032201021100021100
5133121414140021242
62450551111243012
7164313006043304
oct23164111201120
94608353000308
101321258517072
1146a384a9576a
1219409a979468
1397795444520
1447d40a73d04
15245803da0d2
hex133a1250250

1321258517072 has 20 divisors (see below), whose sum is σ = 2756856713940. Its totient is φ = 609811623168.

The previous prime is 1321258517041. The next prime is 1321258517077. The reversal of 1321258517072 is 2707158521231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 658525758016 + 662732759056 = 811496^2 + 814084^2 .

It is a super-3 number, since 3×13212585170723 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321258517077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3176101997 + ... + 3176102412.

It is an arithmetic number, because the mean of its divisors is an integer number (137842835697).

Almost surely, 21321258517072 is an apocalyptic number.

It is an amenable number.

1321258517072 is an abundant number, since it is smaller than the sum of its proper divisors (1435598196868).

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

1321258517072 is a wasteful number, since it uses less digits than its factorization.

1321258517072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352204430 (or 6352204424 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 44.

The spelling of 1321258517072 in words is "one trillion, three hundred twenty-one billion, two hundred fifty-eight million, five hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 6352204409 12704408818 25408817636 50817635272 82578657317 101635270544 165157314634 330314629268 660629258536 1321258517072