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542421124245 = 3257111337325453
BaseRepresentation
bin1111110010010101101…
…00011000010010010101
31220212002021001002211100
413321022310120102111
532341334301433440
61053103531100313
754121462324410
oct7711264302225
91825067032740
10542421124245
1119a048646a70
128915b8a1699
133c1c49a4020
141c37918cb77
15e199e65230
hex7e4ad18495

542421124245 has 192 divisors, whose sum is σ = 1296483761664. Its totient is φ = 202457180160.

The previous prime is 542421124211. The next prime is 542421124247.

542421124245 is a `hidden beast` number, since 54 + 242 + 1 + 124 + 245 = 666.

542421124245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542421124245 - 28 = 542421123989 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542421124247) 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 191 ways as a sum of consecutive naturals, for example, 1503939 + ... + 1829391.

It is an arithmetic number, because the mean of its divisors is an integer number (6752519592).

Almost surely, 2542421124245 is an apocalyptic number.

542421124245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542421124245 is an abundant number, since it is smaller than the sum of its proper divisors (754062637419).

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

542421124245 is a wasteful number, since it uses less digits than its factorization.

542421124245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325532 (or 325529 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 542421 and 124245, that added together give a palindrome (666666).

The spelling of 542421124245 in words is "five hundred forty-two billion, four hundred twenty-one million, one hundred twenty-four thousand, two hundred forty-five".