Search a number
-
+
4102464782328 = 23311179127100153
BaseRepresentation
bin111011101100101101111…
…101001011111111111000
3112112012011211020221220020
4323230231331023333320
51014203321441013303
612420351333530440
7602251621200663
oct73545575137770
915465154227806
104102464782328
111341933467160
125631031a3a20
13239b26156753
141027bb8846da
1571aab7b5a53
hex3bb2df4bff8

4102464782328 has 128 divisors (see below), whose sum is σ = 11848106027520. Its totient is φ = 1169903554560.

The previous prime is 4102464782327. The next prime is 4102464782401. The reversal of 4102464782328 is 8232874642014.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102464782323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40911900 + ... + 41012052.

It is an arithmetic number, because the mean of its divisors is an integer number (92563328340).

Almost surely, 24102464782328 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 4102464782328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5924053013760).

4102464782328 is an abundant number, since it is smaller than the sum of its proper divisors (7745641245192).

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

4102464782328 is a wasteful number, since it uses less digits than its factorization.

4102464782328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109317 (or 109313 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 4102464782328 in words is "four trillion, one hundred two billion, four hundred sixty-four million, seven hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 9127 18254 27381 36508 54762 73016 100153 100397 109524 155159 200306 200794 219048 300459 301191 310318 400612 401588 465477 600918 602382 620636 801224 803176 930954 1101683 1201836 1204764 1241272 1702601 1706749 1861908 2203366 2403672 2409528 3305049 3405202 3413498 3723816 4406732 5107803 5120247 6610098 6810404 6826996 8813464 10215606 10240494 13220196 13620808 13653992 18728611 20431212 20480988 26440392 37457222 40862424 40961976 56185833 74914444 112371666 149828888 224743332 449486664 914096431 1828192862 2742289293 3656385724 5484578586 7312771448 10055060741 10969157172 15539639327 20110121482 21938314344 30165182223 31079278654 40220242964 46618917981 60330364446 62158557308 80440485928 93237835962 120660728892 124317114616 170936032597 186475671924 241321457784 341872065194 372951343848 512808097791 683744130388 1025616195582 1367488260776 2051232391164 4102464782328