Search a number
-
+
2093376634624 = 28112199339601
BaseRepresentation
bin11110011101100110111…
…110000111111100000000
321102010101000110101000001
4132131212332013330000
5233244213404301444
64241403422205344
7304145552542312
oct36354676077400
97363330411001
102093376634624
11737883599500
12299863723854
13122534abb2b2
1473469dd57b2
15396c09e88d4
hex1e766f87f00

2093376634624 has 108 divisors (see below), whose sum is σ = 4616074145200. Its totient is φ = 946750464000.

The previous prime is 2093376634621. The next prime is 2093376634639. The reversal of 2093376634624 is 4264366733902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093376634621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5994424 + ... + 6334024.

Almost surely, 22093376634624 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 2093376634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308037072600).

2093376634624 is an abundant number, since it is smaller than the sum of its proper divisors (2522697510576).

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

2093376634624 is a wasteful number, since it uses less digits than its factorization.

2093376634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339838 (or 339813 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 55.

The spelling of 2093376634624 in words is "two trillion, ninety-three billion, three hundred seventy-six million, six hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 199 242 256 352 398 484 704 796 968 1408 1592 1936 2189 2816 3184 3872 4378 6368 7744 8756 12736 15488 17512 24079 25472 30976 35024 48158 50944 70048 96316 140096 192632 280192 339601 385264 560384 679202 770528 1358404 1541056 2716808 3082112 3735611 5433616 6164224 7471222 10867232 14942444 21734464 29884888 41091721 43468928 59769776 67580599 82183442 86937856 119539552 135161198 164366884 239079104 270322396 328733768 478158208 540644792 657467536 743386589 956316416 1081289584 1314935072 1486773178 2162579168 2629870144 2973546356 4325158336 5259740288 5947092712 8177252479 8650316672 10519480576 11894185424 16354504958 17300633344 23788370848 32709009916 47576741696 65418019832 95153483392 130836039664 190306966784 261672079328 523344158656 1046688317312 2093376634624