Search a number
-
+
2124968418 = 23541472269
BaseRepresentation
bin111111010101000…
…0111000111100010
312111002111120200000
41332222013013202
513322442442133
6550505240430
7103441635126
oct17652070742
95432446600
102124968418
119a0542251
124b3793116
1327b320881
14162309586
15c684a413
hex7ea871e2

2124968418 has 96 divisors (see below), whose sum is σ = 4997341440. Its totient is φ = 676045440.

The previous prime is 2124968401. The next prime is 2124968429. The reversal of 2124968418 is 8148694212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935388 + ... + 937656.

It is an arithmetic number, because the mean of its divisors is an integer number (52055640).

Almost surely, 22124968418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124968418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498670720).

2124968418 is an abundant number, since it is smaller than the sum of its proper divisors (2872373022).

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

2124968418 is a wasteful number, since it uses less digits than its factorization.

2124968418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2362 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2124968418 is about 46097.3797303057. The cubic root of 2124968418 is about 1285.6344261826.

The spelling of 2124968418 in words is "two billion, one hundred twenty-four million, nine hundred sixty-eight thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 41 47 54 81 82 94 123 141 162 243 246 282 369 423 486 738 846 1107 1269 1927 2214 2269 2538 3321 3807 3854 4538 5781 6642 6807 7614 9963 11421 11562 13614 17343 19926 20421 22842 34686 40842 52029 61263 93029 104058 106643 122526 156087 183789 186058 213286 279087 312174 319929 367578 468261 551367 558174 639858 837261 936522 959787 1102734 1674522 1919574 2511783 2879361 4372363 5023566 5758722 7535349 8638083 8744726 13117089 15070698 17276166 22606047 25914249 26234178 39351267 45212094 51828498 78702534 118053801 236107602 354161403 708322806 1062484209 2124968418