Search a number
-
+
2113538508 = 223471791163
BaseRepresentation
bin111110111111010…
…0000100111001100
312110021222212210000
41331332200213030
513312031213013
6545420244300
7103242531564
oct17576404714
95407885700
102113538508
11995045844
124ab9a0690
13278b4b203
141609b1da4
15c583d973
hex7dfa09cc

2113538508 has 120 divisors (see below), whose sum is σ = 5678830080. Its totient is φ = 685208160.

The previous prime is 2113538461. The next prime is 2113538513. The reversal of 2113538508 is 8058353112.

2113538508 is a `hidden beast` number, since 2 + 113 + 5 + 38 + 508 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1816735 + ... + 1817897.

It is an arithmetic number, because the mean of its divisors is an integer number (47323584).

Almost surely, 22113538508 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 2113538508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839415040).

2113538508 is an abundant number, since it is smaller than the sum of its proper divisors (3565291572).

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

2113538508 is a wasteful number, since it uses less digits than its factorization.

2113538508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2113538508 is about 45973.2368666815. The cubic root of 2113538508 is about 1283.3251978720.

The spelling of 2113538508 in words is "two billion, one hundred thirteen million, five hundred thirty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 79 81 108 142 158 162 213 237 284 316 324 426 474 639 711 852 948 1163 1278 1422 1917 2133 2326 2556 2844 3489 3834 4266 4652 5609 5751 6399 6978 7668 8532 10467 11218 11502 12798 13956 16827 20934 22436 23004 25596 31401 33654 41868 50481 62802 67308 82573 91877 94203 100962 125604 151443 165146 183754 188406 201924 247719 275631 302886 330292 367508 376812 454329 495438 551262 605772 743157 826893 908658 990876 1102524 1486314 1653786 1817316 2229471 2480679 2972628 3307572 4458942 4961358 6523267 6688413 7442037 8917884 9922716 13046534 13376826 14884074 19569801 26093068 26753652 29768148 39139602 58709403 78279204 117418806 176128209 234837612 352256418 528384627 704512836 1056769254 2113538508