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39924033042993 = 3111209819183121
BaseRepresentation
bin10010001001111100010011…
…10011101011101000110001
312020100200220111200202020020
421010332021303223220301
520213103404424333433
6220524503024434053
711260262520416661
oct1104761163535061
9166320814622206
1039924033042993
11117a2761920980
124589665a78929
131937a87b83428
149c04952161a1
154937b084dcb3
hex244f89ceba31

39924033042993 has 8 divisors (see below), whose sum is σ = 58071320789856. Its totient is φ = 24196383662400.

The previous prime is 39924033042913. The next prime is 39924033043001.

39924033042993 is nontrivially palindromic in base 10.

39924033042993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 39924033042993 - 28 = 39924033042737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39924033042913) 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 in 7 ways as a sum of consecutive naturals, for example, 604909591528 + ... + 604909591593.

It is an arithmetic number, because the mean of its divisors is an integer number (7258915098732).

Almost surely, 239924033042993 is an apocalyptic number.

39924033042993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39924033042993 is a deficient number, since it is larger than the sum of its proper divisors (18147287746863).

39924033042993 is a wasteful number, since it uses less digits than its factorization.

39924033042993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209819183135.

The product of its (nonzero) digits is 34012224, while the sum is 60.

The spelling of 39924033042993 in words is "thirty-nine trillion, nine hundred twenty-four billion, thirty-three million, forty-two thousand, nine hundred ninety-three".

Divisors: 1 3 11 33 1209819183121 3629457549363 13308011014331 39924033042993