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542332233245 = 511234116364151
BaseRepresentation
bin1111110010001011000…
…01010010011000011101
31220211212001202222022002
413321011201102120131
532341144022430440
61053051033532045
754116332631105
oct7710541223035
91824761688262
10542332233245
1119a002452930
1289135b74025
133c1ac44caba
141c36b450205
15e192257115
hex7e4585261d

542332233245 has 64 divisors (see below), whose sum is σ = 763566870528. Its totient is φ = 365808960000.

The previous prime is 542332233229. The next prime is 542332233251.

542332233245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542332233245 - 24 = 542332233229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542332233199 and 542332233208.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8421920 + ... + 8486070.

It is an arithmetic number, because the mean of its divisors is an integer number (11930732352).

Almost surely, 2542332233245 is an apocalyptic number.

542332233245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542332233245 is a deficient number, since it is larger than the sum of its proper divisors (221234637283).

542332233245 is a wasteful number, since it uses less digits than its factorization.

542332233245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64394.

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 542332 and 233245, that added together give a palindrome (775577).

The spelling of 542332233245 in words is "five hundred forty-two billion, three hundred thirty-two million, two hundred thirty-three thousand, two hundred forty-five".

Divisors: 1 5 11 23 41 55 115 163 205 253 451 815 943 1265 1793 2255 3749 4715 6683 8965 10373 18745 33415 41239 51865 64151 73513 153709 206195 320755 367565 705661 768545 1475473 1690799 2630191 3528305 7377365 8453995 10456613 13150955 16230203 28932101 52283065 60494393 81151015 115022743 144660505 240502099 302471965 428721133 575113715 665438323 1202510495 2143605665 2645523089 3327191615 4715932463 9860586059 13227615445 23579662315 49302930295 108466446649 542332233245