Search a number
-
+
6315568655136 = 2531338313212929
BaseRepresentation
bin101101111100111010100…
…1110011110101100100000
3211100202120211122012112020
41123321311032132230200
51311433241033431021
621233155430301440
71221166451552616
oct133716516365440
924322524565466
106315568655136
11201546594a794
1285bbbb1b7880
1336a72b77a180
1417b96489d6b6
15ae4383367c6
hex5be7539eb20

6315568655136 has 96 divisors (see below), whose sum is σ = 17900243343360. Its totient is φ = 1938177982464.

The previous prime is 6315568655101. The next prime is 6315568655141.

6315568655136 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6315568655136.

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, 6128481 + ... + 7084448.

It is an arithmetic number, because the mean of its divisors is an integer number (186460868160).

Almost surely, 26315568655136 is an apocalyptic number.

It is an amenable number.

6315568655136 is an abundant number, since it is smaller than the sum of its proper divisors (11584674688224).

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

6315568655136 is a wasteful number, since it uses less digits than its factorization.

6315568655136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13213338 (or 13213330 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 60.

The spelling of 6315568655136 in words is "six trillion, three hundred fifteen billion, five hundred sixty-eight million, six hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 383 416 624 766 1149 1248 1532 2298 3064 4596 4979 6128 9192 9958 12256 14937 18384 19916 29874 36768 39832 59748 79664 119496 159328 238992 477984 13212929 26425858 39638787 52851716 79277574 105703432 158555148 171768077 211406864 317110296 343536154 422813728 515304231 634220592 687072308 1030608462 1268441184 1374144616 2061216924 2748289232 4122433848 5060551807 5496578464 8244867696 10121103614 15181655421 16489735392 20242207228 30363310842 40484414456 60726621684 65787173491 80968828912 121453243368 131574346982 161937657824 197361520473 242906486736 263148693964 394723040946 485812973472 526297387928 789446081892 1052594775856 1578892163784 2105189551712 3157784327568 6315568655136