Search a number
-
+
108909124016 = 24731115711491
BaseRepresentation
bin110010101101101111…
…1010101100110110000
3101102010001201201211212
41211123133111212300
53241021213432031
6122010540255252
710603604165000
oct1453337254660
9342101651755
10108909124016
11422083a7910
1219135541528
13a3684c2164
1453b237c000
152c7646512b
hex195b7d59b0

108909124016 has 160 divisors (see below), whose sum is σ = 270181516800. Its totient is φ = 42158188800.

The previous prime is 108909124013. The next prime is 108909124033. The reversal of 108909124016 is 610421909801.

It is a super-2 number, since 2×1089091240162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108909124013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9472031 + ... + 9483521.

It is an arithmetic number, because the mean of its divisors is an integer number (1688634480).

Almost surely, 2108909124016 is an apocalyptic number.

108909124016 is a gapful number since it is divisible by the number (16) 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 108909124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135090758400).

108909124016 is an abundant number, since it is smaller than the sum of its proper divisors (161272392784).

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

108909124016 is a wasteful number, since it uses less digits than its factorization.

108909124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11688 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The spelling of 108909124016 in words is "one hundred eight billion, nine hundred nine million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 157 176 196 308 314 343 392 539 616 628 686 784 1078 1099 1232 1256 1372 1727 2156 2198 2512 2744 3454 3773 4312 4396 5488 6908 7546 7693 8624 8792 11491 12089 13816 15092 15386 17584 22982 24178 27632 30184 30772 45964 48356 53851 60368 61544 80437 84623 91928 96712 107702 123088 126401 160874 169246 183856 193424 215404 252802 321748 338492 430808 505604 563059 592361 643496 676984 861616 884807 1011208 1126118 1184722 1286992 1353968 1769614 1804087 2022416 2252236 2369444 3539228 3608174 3941413 4504472 4738888 6193649 7078456 7216348 7882826 9008944 9477776 12387298 12628609 14156912 14432696 15765652 19844957 24774596 25257218 28865392 31531304 39689914 43355543 49549192 50514436 63062608 79379828 86711086 88400263 99098384 101028872 138914699 158759656 173422172 176800526 202057744 277829398 317519312 346844344 353601052 555658796 618801841 693688688 707202104 972402893 1111317592 1237603682 1414404208 1944805786 2222635184 2475207364 3889611572 4950414728 6806820251 7779223144 9900829456 13613640502 15558446288 27227281004 54454562008 108909124016