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535056046120 = 235349222117257
BaseRepresentation
bin1111100100100111101…
…00110101100000101000
31220011001222100101000001
413302103310311200220
532231243321433440
61045445031552344
753441121231421
oct7622364654050
91804058311001
10535056046120
11196a09209842
128784522b6b4
133b5bcb65b2b
141bc7ad5c648
15ddb8584b9a
hex7c93d35828

535056046120 has 64 divisors (see below), whose sum is σ = 1207939194000. Its totient is φ = 213300725760.

The previous prime is 535056046093. The next prime is 535056046157. The reversal of 535056046120 is 21640650535.

It can be written as a sum of positive squares in 8 ways, for example, as 183788834436 + 351267211684 = 428706^2 + 592678^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 535056046120.

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 15 ways as a sum of consecutive naturals, for example, 30996532 + ... + 31013788.

Almost surely, 2535056046120 is an apocalyptic number.

It is an amenable number.

535056046120 is an abundant number, since it is smaller than the sum of its proper divisors (672883147880).

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

535056046120 is a wasteful number, since it uses less digits than its factorization.

535056046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 535056046120 its reverse (21640650535), we get a palindrome (556696696655).

The spelling of 535056046120 in words is "five hundred thirty-five billion, fifty-six million, forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2221 2792 3490 4442 6980 8884 11105 13960 17257 17768 22210 34514 44420 69028 86285 88840 138056 172570 345140 690280 775129 1550258 3100516 3875645 6022693 6201032 7751290 12045386 15502580 24090772 30113465 31005160 38327797 48181544 60226930 76655594 120453860 153311188 191638985 240907720 306622376 383277970 766555940 1533111880 13376401153 26752802306 53505604612 66882005765 107011209224 133764011530 267528023060 535056046120