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53241444414235 = 5711281941952249
BaseRepresentation
bin11000001101100001111010…
…11000011011001100011011
320222111211110210200121102101
430012300331120123030123
523434301434232223420
6305122440520344231
714133365424350230
oct1406607530331433
9228454423617371
1053241444414235
1115a6762a408880
125b7a670015077
132392853953b7c
14d20c84943787
15624deb02960a
hex306c3d61b31b

53241444414235 has 64 divisors (see below), whose sum is σ = 79948218240000. Its totient is φ = 33067215820800.

The previous prime is 53241444414233. The next prime is 53241444414239.

53241444414235 is nontrivially palindromic in base 10.

53241444414235 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53241444414235 - 21 = 53241444414233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53241444414233) 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 63 ways as a sum of consecutive naturals, for example, 1018968391 + ... + 1019020639.

It is an arithmetic number, because the mean of its divisors is an integer number (1249190910000).

Almost surely, 253241444414235 is an apocalyptic number.

53241444414235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53241444414235 is a deficient number, since it is larger than the sum of its proper divisors (26706773825765).

53241444414235 is a wasteful number, since it uses less digits than its factorization.

53241444414235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61972.

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 5324144 and 4414235, that added together give a palindrome (9738379).

The spelling of 53241444414235 in words is "fifty-three trillion, two hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, two hundred thirty-five".

Divisors: 1 5 7 11 35 55 77 281 385 1405 1967 3091 9419 9835 15455 21637 47095 52249 65933 103609 108185 261245 329665 365743 518045 574739 725263 1828715 2646739 2873695 3626315 4023173 13233695 14681969 18527173 20115865 29114129 73409845 92635865 102773783 145570645 161501659 203798903 492133331 513868915 807508295 1018994515 1130511613 2460666655 3444933317 5413466641 5652558065 17224666585 27067333205 37894266487 138289466011 189471332435 691447330055 968026262077 1521184126121 4840131310385 7605920630605 10648288882847 53241444414235