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45213244231254 = 231113734517110459
BaseRepresentation
bin10100100011111000001110…
…10111001000111001010110
312221002100021201200110222120
422101330013113020321112
521411233211010400004
6240054402212440410
712344356224625041
oct1221740727107126
9187070251613876
1045213244231254
11134519137307a0
1250a2768019106
131c2c78a822608
14b24492cc5c58
155361784a93d9
hex291f075c8e56

45213244231254 has 64 divisors (see below), whose sum is σ = 98741675047680. Its totient is φ = 13687849320320.

The previous prime is 45213244231247. The next prime is 45213244231349.

45213244231254 is nontrivially palindromic in base 10.

45213244231254 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 409266277 + ... + 409376735.

It is an arithmetic number, because the mean of its divisors is an integer number (1542838672620).

Almost surely, 245213244231254 is an apocalyptic number.

45213244231254 is an abundant number, since it is smaller than the sum of its proper divisors (53528430816426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45213244231254 is a wasteful number, since it uses less digits than its factorization.

45213244231254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116365.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4521324 and 4231254, that added together give a palindrome (8752578).

The spelling of 45213244231254 in words is "forty-five trillion, two hundred thirteen billion, two hundred forty-four million, two hundred thirty-one thousand, two hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 66 1373 2746 4119 4517 8238 9034 13551 15103 27102 30206 45309 49687 90618 99374 110459 149061 220918 298122 331377 662754 1215049 2430098 3645147 6201841 7290294 12403682 18605523 37211046 68220251 136440502 151660207 204660753 303320414 409321506 454980621 498943303 909961242 997886606 1496829909 1668262277 2993659818 3336524554 5004786831 5488376333 10009573662 10976752666 16465128999 32930257998 685049155019 1370098310038 2055147465057 4110294930114 7535540705209 15071081410418 22606622115627 45213244231254