Search a number
-
+
116036224416 = 25327551910429
BaseRepresentation
bin110110000010001001…
…1000100010110100000
3102002111202121221121100
41230010103010112200
53400120233140131
6125150054554400
711245325430240
oct1540423042640
9362452557540
10116036224416
1145235472932
121a5a4368a00
13ac32c39b28
14588ab41b20
153041ed87e6
hex1b044c45a0

116036224416 has 144 divisors (see below), whose sum is σ = 377222227200. Its totient is φ = 33144021504.

The previous prime is 116036224399. The next prime is 116036224429. The reversal of 116036224416 is 614422630611.

116036224416 is a `hidden beast` number, since 1 + 1 + 603 + 6 + 2 + 2 + 4 + 41 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11121090 + ... + 11131518.

It is an arithmetic number, because the mean of its divisors is an integer number (2619598800).

Almost surely, 2116036224416 is an apocalyptic number.

116036224416 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 116036224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188611113600).

116036224416 is an abundant number, since it is smaller than the sum of its proper divisors (261186002784).

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

116036224416 is a wasteful number, since it uses less digits than its factorization.

116036224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15971 (or 15960 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 116036224416 in words is "one hundred sixteen billion, thirty-six million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5519 10429 11038 16557 20858 22076 31287 33114 38633 41716 44152 49671 62574 66228 73003 77266 83432 88304 93861 99342 115899 125148 132456 146006 154532 166864 176608 187722 198684 219009 231798 250296 264912 292012 309064 333728 347697 375444 397368 438018 463596 500592 529824 584024 618128 657027 695394 750888 794736 876036 927192 1001184 1168048 1236256 1314054 1390788 1501776 1589472 1752072 1854384 2336096 2628108 2781576 3003552 3504144 3708768 5256216 5563152 7008288 10512432 11126304 21024864 57557651 115115302 172672953 230230604 345345906 402903557 460461208 518018859 690691812 805807114 920922416 1036037718 1208710671 1381383624 1611614228 1841844832 2072075436 2417421342 2762767248 3223228456 3626132013 4144150872 4834842684 5525534496 6446456912 7252264026 8288301744 9669685368 12892913824 14504528052 16576603488 19339370736 29009056104 38678741472 58018112208 116036224416