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11601574057229 = 137611213966781
BaseRepresentation
bin1010100011010011001110…
…1100110101010100001101
31112002002200122101010101112
42220310303230311110031
53010040010424312404
640401404535221405
72305120551251432
oct250646354652415
945062618333345
1011601574057229
113773222114a52
121374567817865
13662040202c70
142c173a8b9b89
15151bb47ee56e
hexa8d33b3550d

11601574057229 has 16 divisors (see below), whose sum is σ = 12520747276464. Its totient is φ = 10686244723200.

The previous prime is 11601574057097. The next prime is 11601574057247. The reversal of 11601574057229 is 92275047510611.

11601574057229 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 8 ways, for example, as 4825939027204 + 6775635030025 = 2196802^2 + 2603005^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11601574057229 is a prime.

It is a super-3 number, since 3×116015740572293 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601574057289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11516819 + ... + 12483599.

It is an arithmetic number, because the mean of its divisors is an integer number (782546704779).

Almost surely, 211601574057229 is an apocalyptic number.

It is an amenable number.

11601574057229 is a deficient number, since it is larger than the sum of its proper divisors (919173219235).

11601574057229 is a wasteful number, since it uses less digits than its factorization.

11601574057229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968768.

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 11601574057229 in words is "eleven trillion, six hundred one billion, five hundred seventy-four million, fifty-seven thousand, two hundred twenty-nine".

Divisors: 1 13 761 1213 9893 15769 923093 966781 12000209 12568153 735720341 1172705353 9564364433 15245169589 892428773633 11601574057229