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5134201540 = 2251340948281
BaseRepresentation
bin1001100100000010…
…11011001011000100
3111020210220110110121
410302001123023010
541003323422130
62205243431324
7241141664416
oct46201331304
914223813417
105134201540
1121a5139676
12bb3525544
1363a8b88a0
14369c369b6
15200b14d7a
hex13205b2c4

5134201540 has 48 divisors (see below), whose sum is σ = 11639824560. Its totient is φ = 1891031040.

The previous prime is 5134201537. The next prime is 5134201559. The reversal of 5134201540 is 451024315.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16516096 + 5117685444 = 4064^2 + 71538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82200 + ... + 130480.

It is an arithmetic number, because the mean of its divisors is an integer number (242496345).

Almost surely, 25134201540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134201540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819912280).

5134201540 is an abundant number, since it is smaller than the sum of its proper divisors (6505623020).

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

5134201540 is a wasteful number, since it uses less digits than its factorization.

5134201540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48712 (or 48710 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5134201540 is about 71653.3428389772. The cubic root of 5134201540 is about 1725.1398377150.

Adding to 5134201540 its reverse (451024315), we get a palindrome (5585225855).

The spelling of 5134201540 in words is "five billion, one hundred thirty-four million, two hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 409 818 1636 2045 4090 5317 8180 10634 21268 26585 48281 53170 96562 106340 193124 241405 482810 627653 965620 1255306 2510612 3138265 6276530 12553060 19746929 39493858 78987716 98734645 197469290 256710077 394938580 513420154 1026840308 1283550385 2567100770 5134201540