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5242134546 = 2321124215717
BaseRepresentation
bin1001110000111010…
…01010000000010010
3111112100000000201100
410320131022000102
541213441301141
62224101045230
7243622260045
oct47035120022
914470000640
105242134546
112250059300
1210236b6816
1365707917c
1437a2d0c5c
1520a3350b6
hex13874a012

5242134546 has 72 divisors (see below), whose sum is σ = 12516210252. Its totient is φ = 1584475200.

The previous prime is 5242134533. The next prime is 5242134563. The reversal of 5242134546 is 6454312425.

It can be written as a sum of positive squares in 2 ways, for example, as 4734128025 + 508006521 = 68805^2 + 22539^2 .

It is a super-2 number, since 2×52421345462 = 54959949196733252232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5242134546.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 914080 + ... + 919796.

Almost surely, 25242134546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5242134546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258105126).

5242134546 is an abundant number, since it is smaller than the sum of its proper divisors (7274075706).

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

5242134546 is a wasteful number, since it uses less digits than its factorization.

5242134546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6154 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 5242134546 is about 72402.5865974414. The cubic root of 5242134546 is about 1737.1449353719.

The spelling of 5242134546 in words is "five billion, two hundred forty-two million, one hundred thirty-four thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 421 726 842 1089 1263 2178 2526 3789 4631 5717 7578 9262 11434 13893 17151 27786 34302 41679 50941 51453 62887 83358 101882 102906 125774 152823 188661 305646 377322 458469 565983 691757 916938 1131966 1383514 2075271 2406857 4150542 4813714 6225813 7220571 12451626 14441142 21661713 26475427 43323426 52950854 79426281 158852562 238278843 291229697 476557686 582459394 873689091 1747378182 2621067273 5242134546