Search a number
-
+
116062409412 = 22353719916217
BaseRepresentation
bin110110000010111011…
…0111101001011000100
3102002120120220021200000
41230011312331023010
53400143434100122
6125152432121300
711246064126315
oct1540566751304
9362516807600
10116062409412
1145249228024
121a5b1096230
13ac384a7501
1458903da60c
15304445c0ac
hex1b05dbd2c4

116062409412 has 144 divisors (see below), whose sum is σ = 314058326400. Its totient is φ = 37450397952.

The previous prime is 116062409377. The next prime is 116062409413. The reversal of 116062409412 is 214904260611.

116062409412 is a `hidden beast` number, since 1 + 1 + 606 + 2 + 4 + 0 + 9 + 41 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (116062409413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7148728 + ... + 7164944.

It is an arithmetic number, because the mean of its divisors is an integer number (2180960600).

Almost surely, 2116062409412 is an apocalyptic number.

116062409412 is a gapful number since it is divisible by the number (12) 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 116062409412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157029163200).

116062409412 is an abundant number, since it is smaller than the sum of its proper divisors (197995916988).

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

116062409412 is a wasteful number, since it uses less digits than its factorization.

116062409412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16472 (or 16458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 116062409412 in words is "one hundred sixteen billion, sixty-two million, four hundred nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 199 222 243 324 333 398 444 486 597 666 796 972 999 1194 1332 1791 1998 2388 2997 3582 3996 5373 5994 7164 7363 8991 10746 11988 14726 16119 16217 17982 21492 22089 29452 32238 32434 35964 44178 48357 48651 64476 64868 66267 88356 96714 97302 132534 145953 193428 194604 198801 265068 291906 397602 437859 583812 596403 600029 795204 875718 1192806 1200058 1313577 1751436 1789209 1800087 2385612 2400116 2627154 3227183 3578418 3600174 3940731 5254308 5400261 6454366 7156836 7200348 7881462 9681549 10800522 12908732 15762924 16200783 19363098 21601044 29044647 32401566 38726196 48602349 58089294 64803132 87133941 97204698 116178588 119405771 145807047 174267882 194409396 238811542 261401823 291614094 348535764 358217313 477623084 522803646 583228188 716434626 784205469 1045607292 1074651939 1432869252 1568410938 2149303878 3136821876 3223955817 4298607756 6447911634 9671867451 12895823268 19343734902 29015602353 38687469804 58031204706 116062409412