Search a number
-
+
42524633642524 = 22112775911323729
BaseRepresentation
bin10011010101101000010011…
…01011101011011000011100
312120120022111211112021100121
421222310021223223120130
521033210422203030044
6230235314053004324
711646206030660065
oct1152641153533034
9176508454467317
1042524633642524
1112605661092600
1249296859236a4
131a96095620727
14a702bba0b56c
154db26b284984
hex26ad09aeb61c

42524633642524 has 36 divisors (see below), whose sum is σ = 81808966808800. Its totient is φ = 19326886001280.

The previous prime is 42524633642501. The next prime is 42524633642629.

42524633642524 is nontrivially palindromic in base 10.

42524633642524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×425246336425243 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1906509 + ... + 9417220.

Almost surely, 242524633642524 is an apocalyptic number.

42524633642524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42524633642524 is a deficient number, since it is larger than the sum of its proper divisors (39284333166276).

42524633642524 is a wasteful number, since it uses less digits than its factorization.

42524633642524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11331514 (or 11331501 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

It can be divided in two parts, 4252463 and 3642524, that added together give a palindrome (7894987).

The spelling of 42524633642524 in words is "forty-two trillion, five hundred twenty-four billion, six hundred thirty-three million, six hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 484 7759 15518 31036 85349 170698 341396 938839 1877678 3755356 11323729 22647458 45294916 124561019 249122038 498244076 1370171209 2740342418 5480684836 87860813311 175721626622 351443253244 966468946421 1932937892842 3865875785684 10631158410631 21262316821262 42524633642524