Search a number
-
+
19293638028 = 2237176123631
BaseRepresentation
bin10001111101111111…
…011000110110001100
31211210121101100210020
4101331333120312030
5304003132404103
612510253342140
71252054134360
oct217577306614
954717340706
1019293638028
1182008348a5
1238a5497950
131a8624b882
14d105732a0
1577dc3d753
hex47dfd8d8c

19293638028 has 144 divisors (see below), whose sum is σ = 55399099392. Its totient is φ = 5101747200.

The previous prime is 19293637999. The next prime is 19293638047. The reversal of 19293638028 is 82083639291.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5311773 + ... + 5315403.

It is an arithmetic number, because the mean of its divisors is an integer number (384715968).

Almost surely, 219293638028 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 19293638028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27699549696).

19293638028 is an abundant number, since it is smaller than the sum of its proper divisors (36105461364).

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

19293638028 is a wasteful number, since it uses less digits than its factorization.

19293638028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

It can be divided in two parts, 1929363 and 8028, that added together give a palindrome (1937391).

The spelling of 19293638028 in words is "nineteen billion, two hundred ninety-three million, six hundred thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 61 68 84 102 119 122 183 204 238 244 357 366 427 476 714 732 854 1037 1281 1428 1708 2074 2562 3111 3631 3721 4148 5124 6222 7259 7262 7442 10893 11163 12444 14518 14524 14884 21777 21786 22326 25417 26047 29036 43554 43572 44652 50834 52094 61727 63257 76251 78141 87108 101668 104188 123454 126514 152502 156282 185181 189771 221491 246908 253028 305004 312564 370362 379542 432089 442799 442982 664473 740724 759084 864178 885598 885964 1296267 1328397 1328946 1550437 1728356 1771196 2592534 2656794 2657892 3100874 3765347 4651311 5185068 5313588 6201748 7530694 9302622 11296041 13510951 15061388 18605244 22592082 26357429 27021902 40532853 45184164 52714858 54043804 79072287 81065706 94576657 105429716 158144574 162131412 189153314 229686167 283729971 316289148 378306628 459372334 567459942 689058501 918744668 1134919884 1378117002 1607803169 2756234004 3215606338 4823409507 6431212676 9646819014 19293638028