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1136882665009 = 72132117172
BaseRepresentation
bin10000100010110011011…
…111001100011000110001
311000200111022022021112201
4100202303133030120301
5122111313430240014
62230135433023201
7145065004131100
oct20426337143061
94020438267481
101136882665009
113a9170698123
12164403854b01
1383291073400
143d04da48037
151e88d967e74
hex108b37cc631

1136882665009 has 27 divisors (see below), whose sum is σ = 1432174286817. Its totient is φ = 899434789344.

The previous prime is 1136882664991. The next prime is 1136882665033. The reversal of 1136882665009 is 9005662886311.

The square root of 1136882665009 is 1066247.

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

It can be written as a sum of positive squares in 4 ways, for example, as 912699354609 + 224183310400 = 955353^2 + 473480^2 .

It is a de Polignac number, because none of the positive numbers 2k-1136882665009 is a prime.

It is a super-2 number, since 2×11368826650092 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1136882665609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97022619 + ... + 97034335.

Almost surely, 21136882665009 is an apocalyptic number.

1136882665009 is the 1066247-th square number.

1136882665009 is the 533124-th centered octagonal number.

It is an amenable number.

1136882665009 is a deficient number, since it is larger than the sum of its proper divisors (295291621808).

1136882665009 is an frugal number, since it uses more digits than its factorization.

1136882665009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23474 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 1136882665009 in words is "one trillion, one hundred thirty-six billion, eight hundred eighty-two million, six hundred sixty-five thousand, nine".

Divisors: 1 7 13 49 91 169 637 1183 8281 11717 82019 152321 574133 1066247 1980173 7463729 13861211 97028477 137288089 961016623 1784745157 6727116361 12493216099 23201687041 87452512693 162411809287 1136882665009