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12445187364 = 2232185932
BaseRepresentation
bin10111001011100101…
…00111110100100100
31012010022211000121100
423211302213310210
5200441431443424
65414531320100
7620255230041
oct134562476444
935108730540
1012445187364
115306a90515
1224b3a50030
131234467abc
14860bc61c8
154cc8acdc9
hex2e5ca7d24

12445187364 has 27 divisors (see below), whose sum is σ = 31460360113. Its totient is φ = 4148172672.

The previous prime is 12445187351. The next prime is 12445187371. The reversal of 12445187364 is 46378154421.

The square root of 12445187364 is 111558.

It is a perfect power (a square), and thus also a powerful number.

12445187364 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 518 + 73 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7233502500 + 5211684864 = 85050^2 + 72192^2 .

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 660052 + ... + 678644.

Almost surely, 212445187364 is an apocalyptic number.

12445187364 is the 111558-th square number.

It is an amenable number.

12445187364 is an abundant number, since it is smaller than the sum of its proper divisors (19015172749).

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

12445187364 is an frugal number, since it uses more digits than its factorization.

12445187364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37196 (or 18598 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

It can be divided in two parts, 12445 and 187364, that added together give a square (199809 = 4472).

The spelling of 12445187364 in words is "twelve billion, four hundred forty-five million, one hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 18593 37186 55779 74372 111558 167337 223116 334674 669348 345699649 691399298 1037098947 1382798596 2074197894 3111296841 4148395788 6222593682 12445187364