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40524507703829 is a prime number
BaseRepresentation
bin10010011011011010110001…
…11000101110101000010101
312022111002211121201001222102
421031231120320232220111
520302423142433010304
6222104411332411445
711351541036004562
oct1115553070565025
9168432747631872
1040524507703829
1111a04390144156
124665b07776b85
13197c5a1c63326
14a0157a537869
154a42071cbd1e
hex24db58e2ea15

40524507703829 has 2 divisors, whose sum is σ = 40524507703830. Its totient is φ = 40524507703828.

The previous prime is 40524507703789. The next prime is 40524507703837. The reversal of 40524507703829 is 92830770542504.

40524507703829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38629829784100 + 1894677919729 = 6215290^2 + 1376473^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40524507703829 is a prime.

It is a super-2 number, since 2×405245077038292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40524507703529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20262253851914 + 20262253851915.

It is an arithmetic number, because the mean of its divisors is an integer number (20262253851915).

Almost surely, 240524507703829 is an apocalyptic number.

It is an amenable number.

40524507703829 is a deficient number, since it is larger than the sum of its proper divisors (1).

40524507703829 is an equidigital number, since it uses as much as digits as its factorization.

40524507703829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 40524507703829 in words is "forty trillion, five hundred twenty-four billion, five hundred seven million, seven hundred three thousand, eight hundred twenty-nine".