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11514665413264 = 2413416211330073
BaseRepresentation
bin1010011110001111011110…
…0010101010101010010000
31111202210100211102120112011
42213203313202222222100
53002124013321211024
640253433025312304
72265623100051616
oct247436742525220
944683324376464
1011514665413264
11373a384491462
12135b752195694
13656a9c9a0450
142bb4543a56b6
1514e7c9a60094
hexa78f78aaa90

11514665413264 has 40 divisors (see below), whose sum is σ = 24026387572152. Its totient is φ = 5314329277440.

The previous prime is 11514665413151. The next prime is 11514665413291. The reversal of 11514665413264 is 46231456641511.

11514665413264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 562590003600 + 10952075409664 = 750060^2 + 3309392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7992132 + ... + 9322204.

Almost surely, 211514665413264 is an apocalyptic number.

It is an amenable number.

11514665413264 is an abundant number, since it is smaller than the sum of its proper divisors (12511722158888).

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

11514665413264 is a wasteful number, since it uses less digits than its factorization.

11514665413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371715 (or 1371709 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 11514665413264 in words is "eleven trillion, five hundred fourteen billion, six hundred sixty-five million, four hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 41621 83242 166484 332968 541073 665936 1082146 1330073 2164292 2660146 4328584 5320292 8657168 10640584 17290949 21281168 34581898 69163796 138327592 276655184 55358968333 110717936666 221435873332 442871746664 719666588329 885743493328 1439333176658 2878666353316 5757332706632 11514665413264