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542851000111 = 741967971831
BaseRepresentation
bin1111110011001000111…
…00001110011100101111
31220220012012221001122201
413321210130032130233
532343224324000421
61053214324522331
754135232240000
oct7714434163457
91826165831581
10542851000111
1119a249268082
128925b8503a7
133c262a75c44
141c3ba2cd1a7
15e1c2a7ab91
hex7e6470e72f

542851000111 has 80 divisors (see below), whose sum is σ = 683917256960. Its totient is φ = 429520734720.

The previous prime is 542851000099. The next prime is 542851000117. The reversal of 542851000111 is 111000158245.

It is not a de Polignac number, because 542851000111 - 25 = 542851000079 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 542851000111 = 57543 + 70633 = 60553 + 68463.

It is a self number, because there is not a number n which added to its sum of digits gives 542851000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542851000117) 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 79 ways as a sum of consecutive naturals, for example, 296476966 + ... + 296478796.

It is an arithmetic number, because the mean of its divisors is an integer number (8548965712).

Almost surely, 2542851000111 is an apocalyptic number.

542851000111 is a deficient number, since it is larger than the sum of its proper divisors (141066256849).

542851000111 is an equidigital number, since it uses as much as digits as its factorization.

542851000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

Adding to 542851000111 its reverse (111000158245), we get a palindrome (653851158356).

The spelling of 542851000111 in words is "five hundred forty-two billion, eight hundred fifty-one million, one hundred eleven", and thus it is an aban number.

Divisors: 1 7 19 49 67 97 133 343 469 679 931 1273 1831 1843 2401 3283 4753 6499 6517 8911 12817 12901 22981 33271 34789 45493 45619 62377 89719 90307 122677 123481 160867 177607 232897 243523 318451 436639 628033 632149 858739 864367 1243249 1704661 2229157 2330863 3056473 3374533 4396231 4425043 6011173 6050569 8702743 11899669 11932627 15604099 16316041 23621731 42078211 42353983 60919201 83297683 83528389 114212287 165352117 226093711 294547477 296477881 426434407 583083781 799486009 1157464819 1582655977 4081586467 5596402063 8102253733 11078591839 28571105269 77550142873 542851000111