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40597011169 = 11213214092
BaseRepresentation
bin100101110011110001…
…010011101011100001
310212210021102211212021
4211303301103223201
51131120313324134
630352222501441
72635013621101
oct456361235341
9125707384767
1040597011169
1116242a55400
127a4ba34881
133a9c972900
141d719b7201
1510c91140b4
hex973c53ae1

40597011169 has 27 divisors (see below), whose sum is σ = 48354072249. Its totient is φ = 34043243520.

The previous prime is 40597011167. The next prime is 40597011187. The reversal of 40597011169 is 96111079504.

It is a happy number.

The square root of 40597011169 is 201487.

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 30995363025 + 9601648144 = 176055^2 + 97988^2 .

It is not a de Polignac number, because 40597011169 - 21 = 40597011167 is a prime.

It is a super-2 number, since 2×405970111692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40597011163) 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, 28811937 + ... + 28813345.

Almost surely, 240597011169 is an apocalyptic number.

40597011169 is the 201487-th square number.

40597011169 is the 100744-th centered octagonal number.

It is an amenable number.

40597011169 is a deficient number, since it is larger than the sum of its proper divisors (7757061080).

40597011169 is an equidigital number, since it uses as much as digits as its factorization.

40597011169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 40597011169 in words is "forty billion, five hundred ninety-seven million, eleven thousand, one hundred sixty-nine".

Divisors: 1 11 13 121 143 169 1409 1573 1859 15499 18317 20449 170489 201487 238121 1985281 2216357 2619331 21838091 25808653 28812641 240219001 283895183 335512489 3122847013 3690637379 40597011169