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6133144512 = 263113598089
BaseRepresentation
bin1011011011001000…
…00101101111000000
3120211102121000121110
411231210011233000
5100030041111022
62452330323320
7304661603535
oct55544055700
916742530543
106133144512
112668000280
121231b89540
137698458c1
1442278ad8c
1525d68800c
hex16d905bc0

6133144512 has 112 divisors (see below), whose sum is σ = 17753990400. Its totient is φ = 1853122560.

The previous prime is 6133144487. The next prime is 6133144513. The reversal of 6133144512 is 2154413316.

It is a self number, because there is not a number n which added to its sum of digits gives 6133144512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133144513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754164 + ... + 762252.

Almost surely, 26133144512 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 6133144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876995200).

6133144512 is an abundant number, since it is smaller than the sum of its proper divisors (11620845888).

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

6133144512 is a wasteful number, since it uses less digits than its factorization.

6133144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8464 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 6133144512 is about 78314.3953050779. The cubic root of 6133144512 is about 1830.4634688634.

Adding to 6133144512 its reverse (2154413316), we get a palindrome (8287557828).

The spelling of 6133144512 in words is "six billion, one hundred thirty-three million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 359 528 704 718 1056 1077 1436 2112 2154 2872 3949 4308 5744 7898 8089 8616 11488 11847 15796 16178 17232 22976 23694 24267 31592 32356 34464 47388 48534 63184 64712 68928 88979 94776 97068 126368 129424 177958 189552 194136 252736 258848 266937 355916 379104 388272 517696 533874 711832 758208 776544 1067748 1423664 1553088 2135496 2847328 2903951 4270992 5694656 5807902 8541984 8711853 11615804 17083968 17423706 23231608 31943461 34847412 46463216 63886922 69694824 92926432 95830383 127773844 139389648 185852864 191660766 255547688 278779296 383321532 511095376 557558592 766643064 1022190752 1533286128 2044381504 3066572256 6133144512