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52541405410401 = 33231491493380333
BaseRepresentation
bin10111111001001001111111…
…10011100011010001100001
320220000220112212210121111000
423330210333303203101201
523341314244241113101
6303425104411142213
714031664002115005
oct1374447763432141
9226026485717430
1052541405410401
111581775966a006
125a86a62444969
1323418303ab94b
14cd90363a8705
15611ac881a486
hex2fc93fce3461

52541405410401 has 64 divisors (see below), whose sum is σ = 81823535424000. Its totient is φ = 33257422801152.

The previous prime is 52541405410399. The next prime is 52541405410477. The reversal of 52541405410401 is 10401450414525.

52541405410401 is a `hidden beast` number, since 5 + 2 + 54 + 140 + 54 + 10 + 401 = 666.

It is not a de Polignac number, because 52541405410401 - 21 = 52541405410399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52541405410001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137955631 + ... + 138335963.

It is an arithmetic number, because the mean of its divisors is an integer number (1278492741000).

Almost surely, 252541405410401 is an apocalyptic number.

It is an amenable number.

52541405410401 is a deficient number, since it is larger than the sum of its proper divisors (29282130013599).

52541405410401 is a wasteful number, since it uses less digits than its factorization.

52541405410401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382007 (or 382001 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 52541405410401 its reverse (10401450414525), we get a palindrome (62942855824926).

The spelling of 52541405410401 in words is "fifty-two trillion, five hundred forty-one billion, four hundred five million, four hundred ten thousand, four hundred one".

Divisors: 1 3 9 23 27 69 149 207 447 621 1341 1493 3427 4023 4479 10281 13437 30843 34339 40311 92529 103017 222457 309051 380333 667371 927153 1140999 2002113 3422997 5116511 6006339 8747659 10268991 15349533 26242977 46048599 56669617 78728931 138145797 170008851 236186793 510026553 567837169 1303401191 1530079659 1703511507 3910203573 5110534521 11730610719 13060254887 15331603563 35191832157 39180764661 84607738181 117542293983 253823214543 352626881949 761469643629 1945977978163 2284408930887 5837933934489 17513801803467 52541405410401