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5013212352 = 263411633907
BaseRepresentation
bin1001010101100111…
…11000110011000000
3110221101020120111120
410222303320303000
540231340243402
62145242312240
7235142413311
oct45263706300
913841216446
105013212352
112142911705
12b7aab8680
1361b806655
14357b40608
151e51b63bc
hex12acf8cc0

5013212352 has 112 divisors (see below), whose sum is σ = 13674498432. Its totient is φ = 1619896320.

The previous prime is 5013212333. The next prime is 5013212417. The reversal of 5013212352 is 2532123105.

It is a happy number.

It is a super-3 number, since 3×50132123523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1281183 + ... + 1285089.

It is an arithmetic number, because the mean of its divisors is an integer number (122093736).

Almost surely, 25013212352 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 5013212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837249216).

5013212352 is an abundant number, since it is smaller than the sum of its proper divisors (8661286080).

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

5013212352 is a wasteful number, since it uses less digits than its factorization.

5013212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5013212352 is about 70804.0419185233. The cubic root of 5013212352 is about 1711.4808088774.

Adding to 5013212352 its reverse (2532123105), we get a palindrome (7545335457).

The spelling of 5013212352 in words is "five billion, thirteen million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 163 164 192 246 326 328 489 492 652 656 978 984 1304 1312 1956 1968 2608 2624 3907 3912 3936 5216 6683 7814 7824 7872 10432 11721 13366 15628 15648 20049 23442 26732 31256 31296 40098 46884 53464 62512 80196 93768 106928 125024 160187 160392 187536 213856 250048 320374 320784 375072 427712 480561 636841 640748 641568 750144 961122 1273682 1281496 1283136 1910523 1922244 2547364 2562992 3821046 3844488 5094728 5125984 7642092 7688976 10189456 10251968 15284184 15377952 20378912 26110481 30568368 30755904 40757824 52220962 61136736 78331443 104441924 122273472 156662886 208883848 313325772 417767696 626651544 835535392 1253303088 1671070784 2506606176 5013212352