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11742539769 = 324128812
BaseRepresentation
bin10101110111110100…
…01110111111111001
31010022100122211022100
422323322032333321
5143022042233034
65221111214013
7563663640552
oct127372167771
933270584270
1011742539769
114a863a2a24
122338677309
131151a0c5ac
147d575d329
1548ad66099
hex2bbe8eff9

11742539769 has 27 divisors (see below), whose sum is σ = 17404986157. Its totient is φ = 7628755200.

The previous prime is 11742539759. The next prime is 11742539801. The reversal of 11742539769 is 96793524711.

The square root of 11742539769 is 108363.

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

11742539769 is a `hidden beast` number, since 1 + 1 + 7 + 42 + 539 + 7 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7402365369 + 4340174400 = 86037^2 + 65880^2 .

It is not a de Polignac number, because 11742539769 - 215 = 11742507001 is a prime.

It is a super-2 number, since 2×117425397692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11742539719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13328209 + ... + 13329089.

Almost surely, 211742539769 is an apocalyptic number.

11742539769 is the 108363-rd square number.

11742539769 is the 54182-nd centered octagonal number.

It is an amenable number.

11742539769 is a deficient number, since it is larger than the sum of its proper divisors (5662446388).

11742539769 is an frugal number, since it uses more digits than its factorization.

11742539769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 11742539769 in words is "eleven billion, seven hundred forty-two million, five hundred thirty-nine thousand, seven hundred sixty-nine".

Divisors: 1 3 9 41 123 369 881 1681 2643 5043 7929 15129 36121 108363 325089 776161 1480961 2328483 4442883 6985449 13328649 31822601 95467803 286403409 1304726641 3914179923 11742539769