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542033315334 = 232743793312611
BaseRepresentation
bin1111110001100111011…
…01000000011000000110
31220211002020022101000100
413320303231000120012
532340041012042314
61053001235024530
754106043106240
oct7706355003006
91824066271010
10542033315334
11199969748435
1289071a3b146
133c1625406b4
141c33d87d090
15e175dadc09
hex7e33b40606

542033315334 has 96 divisors (see below), whose sum is σ = 1373673210624. Its totient is φ = 151234050240.

The previous prime is 542033315287. The next prime is 542033315359. The reversal of 542033315334 is 433513330245.

542033315334 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 3 + 3 + 315 + 334 = 666.

It is a super-2 number, since 2×5420333153342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42974689 + ... + 42987299.

It is an arithmetic number, because the mean of its divisors is an integer number (14309095944).

Almost surely, 2542033315334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542033315334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686836605312).

542033315334 is an abundant number, since it is smaller than the sum of its proper divisors (831639895290).

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

542033315334 is a wasteful number, since it uses less digits than its factorization.

542033315334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20602 (or 20599 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 542033315334 its reverse (433513330245), we get a palindrome (975546645579).

The spelling of 542033315334 in words is "five hundred forty-two billion, thirty-three million, three hundred fifteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 7933 12611 15866 23799 25222 37833 47598 55531 71397 75666 88277 111062 113499 142794 166593 176554 226998 264831 333186 341119 499779 529662 542273 682238 794493 999558 1023357 1084546 1588986 1626819 2046714 2387833 3070071 3253638 3795911 4775666 4880457 6140142 7163499 7591822 9760914 11387733 14326998 21490497 22775466 34163199 42980994 68326398 100043063 200086126 300129189 600258378 700301441 900387567 1400602882 1800775134 2100904323 4201808646 4301851709 6302712969 8603703418 12605425938 12905555127 25811110254 30112961963 38716665381 60225923926 77433330762 90338885889 180677771778 271016657667 542033315334