Search a number
-
+
18787028928 = 2631914671097
BaseRepresentation
bin10001011111110010…
…110100111111000000
31210111022002221202020
4101133302310333000
5301433434411203
612344115121440
71233363053043
oct213762647700
953438087666
1018787028928
117a70873998
1237838a3280
131a052c1485
14ca317ac5a
1574e51c153
hex45fcb4fc0

18787028928 has 112 divisors (see below), whose sum is σ = 50120239104. Its totient is φ = 6210549760.

The previous prime is 18787028903. The next prime is 18787028929. The reversal of 18787028928 is 82982078781.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18787028929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17125276 + ... + 17126372.

Almost surely, 218787028928 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 18787028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25060119552).

18787028928 is an abundant number, since it is smaller than the sum of its proper divisors (31333210176).

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

18787028928 is a wasteful number, since it uses less digits than its factorization.

18787028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 60.

The spelling of 18787028928 in words is "eighteen billion, seven hundred eighty-seven million, twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 467 573 764 934 1097 1146 1401 1528 1868 2194 2292 2802 3056 3291 3736 4388 4584 5604 6112 6582 7472 8776 9168 11208 12224 13164 14944 17552 18336 22416 26328 29888 35104 36672 44832 52656 70208 89197 89664 105312 178394 209527 210624 267591 356788 419054 512299 535182 628581 713576 838108 1024598 1070364 1257162 1427152 1536897 1676216 2049196 2140728 2514324 2854304 3073794 3352432 4098392 4281456 5028648 5708608 6147588 6704864 8196784 8562912 10057296 12295176 13409728 16393568 17125824 20114592 24590352 32787136 40229184 49180704 97849109 98361408 195698218 293547327 391396436 587094654 782792872 1174189308 1565585744 2348378616 3131171488 4696757232 6262342976 9393514464 18787028928