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542255010401 = 132174135912823
BaseRepresentation
bin1111110010000001110…
…10101101001001100001
31220211122200110122110202
413321000322231021201
532341014240313101
61053035234434545
754114404352446
oct7710072551141
91824580418422
10542255010401
11199a728a91a5
1289114132a55
133c199452800
141c3610ab9cd
15e18a5a136b
hex7e40ead261

542255010401 has 48 divisors (see below), whose sum is σ = 638702910720. Its totient is φ = 458293155840.

The previous prime is 542255010397. The next prime is 542255010413. The reversal of 542255010401 is 104010552245.

It is not a de Polignac number, because 542255010401 - 22 = 542255010397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542255010421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42281276 + ... + 42294098.

It is an arithmetic number, because the mean of its divisors is an integer number (13306310640).

Almost surely, 2542255010401 is an apocalyptic number.

It is an amenable number.

542255010401 is a deficient number, since it is larger than the sum of its proper divisors (96447900319).

542255010401 is a wasteful number, since it uses less digits than its factorization.

542255010401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 542255010401 its reverse (104010552245), we get a palindrome (646265562646).

The spelling of 542255010401 in words is "five hundred forty-two billion, two hundred fifty-five million, ten thousand, four hundred one".

Divisors: 1 13 17 41 169 221 359 533 697 2873 4667 6103 6929 9061 12823 14719 60671 79339 117793 166699 191347 217991 250223 525743 1031407 2167087 2487511 2833883 3252899 4603457 6834659 8937631 36840479 42287687 59844941 78258769 88850567 116189203 188741737 777984233 1017363997 1510459639 2453642581 3208609529 13225731961 31897353553 41711923877 542255010401