Search a number
-
+
13154668912 = 2471127313297
BaseRepresentation
bin11000100000001010…
…00101000101110000
31020221202211102022201
430100011011011300
5203420043401122
610013154112544
7643661561260
oct142005050560
936852742281
1013154668912
115640516500
12267157b754
131318446a78
148cb10b7a0
1551ed04a27
hex310145170

13154668912 has 120 divisors (see below), whose sum is σ = 32457971168. Its totient is φ = 5054607360.

The previous prime is 13154668909. The next prime is 13154668913. The reversal of 13154668912 is 21986645131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13154668913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982648 + ... + 995944.

Almost surely, 213154668912 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 13154668912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228985584).

13154668912 is an abundant number, since it is smaller than the sum of its proper divisors (19303302256).

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

13154668912 is a wasteful number, since it uses less digits than its factorization.

13154668912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13390 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

It can be divided in two parts, 1315466 and 8912, that added together give a triangular number (1324378 = T1627).

The spelling of 13154668912 in words is "thirteen billion, one hundred fifty-four million, six hundred sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 73 77 88 112 121 146 154 176 242 292 308 484 511 584 616 803 847 968 1022 1168 1232 1606 1694 1936 2044 3212 3388 4088 5621 6424 6776 8176 8833 11242 12848 13297 13552 17666 22484 26594 35332 44968 53188 61831 70664 89936 93079 106376 123662 141328 146267 186158 212752 247324 292534 372316 494648 585068 744632 970681 989296 1023869 1170136 1489264 1608937 1941362 2047738 2340272 3217874 3882724 4095476 6435748 6794767 7765448 8190952 10677491 11262559 12871496 13589534 15530896 16381904 21354982 22525118 25742992 27179068 42709964 45050236 54358136 74742437 85419928 90100472 108716272 117452401 149484874 170839856 180200944 234904802 298969748 469809604 597939496 822166807 939619208 1195878992 1644333614 1879238416 3288667228 6577334456 13154668912