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11989593009 = 321721921132
BaseRepresentation
bin10110010101010001…
…01010101110110001
31010221120112102122100
423022220222232301
5144023313434014
65301414331013
7603053600442
oct131250525661
933846472570
1011989593009
1150a28a3759
1223a7359a69
131190c5c944
1481a4ad2c9
154a28b7009
hex2caa2abb1

11989593009 has 81 divisors (see below), whose sum is σ = 19589516193. Its totient is φ = 7063870464.

The previous prime is 11989592957. The next prime is 11989593023. The reversal of 11989593009 is 90039598911.

The square root of 11989593009 is 109497.

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

11989593009 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 1462833009 + 10526760000 = 38247^2 + 102600^2 .

It is not a de Polignac number, because 11989593009 - 29 = 11989592497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11989592009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106102537 + ... + 106102649.

Almost surely, 211989593009 is an apocalyptic number.

11989593009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11989593009 is the 109497-th square number.

11989593009 is the 54749-th centered octagonal number.

It is an amenable number.

11989593009 is a deficient number, since it is larger than the sum of its proper divisors (7599923184).

11989593009 is a wasteful number, since it uses less digits than its factorization.

11989593009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 54.

The spelling of 11989593009 in words is "eleven billion, nine hundred eighty-nine million, five hundred ninety-three thousand, nine".

Divisors: 1 3 9 17 19 51 57 113 153 171 289 323 339 361 867 969 1017 1083 1921 2147 2601 2907 3249 5491 5763 6137 6441 12769 16473 17289 18411 19323 32657 36499 38307 40793 49419 55233 97971 104329 109497 114921 122379 217073 242611 293913 312987 328491 367137 620483 651219 693481 727833 938961 1861449 1953657 2080443 2183499 3690241 4124387 4609609 5584347 6241329 11070723 11789177 12373161 13828827 33212169 35367531 37119483 41486481 70114579 78363353 106102593 210343737 235090059 631031211 705270177 1332177001 3996531003 11989593009