Search a number
-
+
1630406653434 = 2321331719331247
BaseRepresentation
bin10111101110011011110…
…011110011010111111010
312202212100211202111222200
4113232123303303113322
5203203033100402214
63244555400531030
7225535665615306
oct27563363632772
95685324674880
101630406653434
115794a7062239
12223b97a80a76
13ba99261bc70
1458caab4cd06
152c625c87d09
hex17b9bcf35fa

1630406653434 has 96 divisors (see below), whose sum is σ = 3927672612864. Its totient is φ = 485397861120.

The previous prime is 1630406653397. The next prime is 1630406653439. The reversal of 1630406653434 is 4343566040361.

1630406653434 is a `hidden beast` number, since 1 + 630 + 4 + 0 + 6 + 6 + 5 + 3 + 4 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1630406653434.

It is not an unprimeable number, because it can be changed into a prime (1630406653439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52162399 + ... + 52193645.

It is an arithmetic number, because the mean of its divisors is an integer number (40913256384).

Almost surely, 21630406653434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630406653434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963836306432).

1630406653434 is an abundant number, since it is smaller than the sum of its proper divisors (2297265959430).

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

1630406653434 is a wasteful number, since it uses less digits than its factorization.

1630406653434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38492 (or 38489 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 1630406653434 in words is "one trillion, six hundred thirty billion, four hundred six million, six hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 3627 7193 7254 14386 21579 31247 43158 62494 64737 93509 93741 129474 187018 187482 222983 280527 281223 406211 445966 561054 562446 668949 812422 841581 968657 1218633 1337898 1683162 1937314 2006847 2437266 2898779 2905971 3655899 4013694 5797558 5811942 7311798 8696337 8717913 12592541 17392674 17435826 25185082 26089011 37777623 52178022 75555246 113332869 224759671 226665738 449519342 674279013 1348558026 2022837039 2921875723 4045674078 5843751446 6967549801 8765627169 13935099602 17531254338 20902649403 26296881507 41805298806 52593763014 62707948209 90578147413 125415896418 181156294826 271734442239 543468884478 815203326717 1630406653434