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542241146600 = 23522711205733
BaseRepresentation
bin1111110010000000001…
…01110100011011101000
31220211121201101021220122
413321000011310123220
532341002213142400
61053034021342412
754114145461266
oct7710005643350
91824551337818
10542241146600
11199a65a9a10a
128910b567a08
133c19660a38a
141c35d2dd436
15e189263685
hex7e401746e8

542241146600 has 24 divisors (see below), whose sum is σ = 1260710666310. Its totient is φ = 216896458560.

The previous prime is 542241146599. The next prime is 542241146611. The reversal of 542241146600 is 6641142245.

It can be written as a sum of positive squares in 3 ways, for example, as 264366675556 + 277874471044 = 514166^2 + 527138^2 .

It is a super-2 number, since 2×5422411466002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1355602667 + ... + 1355603066.

Almost surely, 2542241146600 is an apocalyptic number.

542241146600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542241146600 is an abundant number, since it is smaller than the sum of its proper divisors (718469519710).

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

542241146600 is a wasteful number, since it uses less digits than its factorization.

542241146600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711205749 (or 2711205740 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 542241146600 its reverse (6641142245), we get a palindrome (548882288845).

The spelling of 542241146600 in words is "five hundred forty-two billion, two hundred forty-one million, one hundred forty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2711205733 5422411466 10844822932 13556028665 21689645864 27112057330 54224114660 67780143325 108448229320 135560286650 271120573300 542241146600