Search a number
-
+
15168999168 = 28335034363
BaseRepresentation
bin11100010000010010…
…01000111100000000
31110011011010222222000
432020021020330000
5222031230433133
610545112144000
71044621236241
oct161011107400
943134128860
1015168999168
116484560654
122b34098000
13157986a96b
14a3c856cc8
155dba98413
hex388248f00

15168999168 has 144 divisors (see below), whose sum is σ = 44956880640. Its totient is φ = 5045124096.

The previous prime is 15168999121. The next prime is 15168999227. The reversal of 15168999168 is 86199986151.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3474555 + ... + 3478917.

It is an arithmetic number, because the mean of its divisors is an integer number (312200560).

Almost surely, 215168999168 is an apocalyptic number.

15168999168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15168999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22478440320).

15168999168 is an abundant number, since it is smaller than the sum of its proper divisors (29787881472).

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

15168999168 is an equidigital number, since it uses as much as digits as its factorization.

15168999168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4871 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 63.

The spelling of 15168999168 in words is "fifteen billion, one hundred sixty-eight million, nine hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 503 576 768 864 1006 1152 1509 1728 2012 2304 3018 3456 4024 4363 4527 6036 6912 8048 8726 9054 12072 13089 13581 16096 17452 18108 24144 26178 27162 32192 34904 36216 39267 48288 52356 54324 64384 69808 72432 78534 96576 104712 108648 117801 128768 139616 144864 157068 193152 209424 217296 235602 279232 289728 314136 386304 418848 434592 471204 558464 579456 628272 837696 869184 942408 1116928 1158912 1256544 1675392 1738368 1884816 2194589 2513088 3350784 3476736 3769632 4389178 5026176 6583767 7539264 8778356 10052352 13167534 15078528 17556712 19751301 26335068 30157056 35113424 39502602 52670136 59253903 70226848 79005204 105340272 118507806 140453696 158010408 210680544 237015612 280907392 316020816 421361088 474031224 561814784 632041632 842722176 948062448 1264083264 1685444352 1896124896 2528166528 3792249792 5056333056 7584499584 15168999168