Search a number
-
+
18713691776 = 271323172729
BaseRepresentation
bin10001011011011011…
…000100011010000000
31210022012010001002102
4101123123010122000
5301311201114101
612332535205532
71231512520103
oct213333043200
953265101072
1018713691776
117a3343367a
1237632168a8
1319c3054a00
14c9752a73a
15747d8286b
hex45b6c4680

18713691776 has 96 divisors (see below), whose sum is σ = 40511753100. Its totient is φ = 8606687232.

The previous prime is 18713691751. The next prime is 18713691833. The reversal of 18713691776 is 67719631781.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3088691776 + 15625000000 = 55576^2 + 125000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6855980 + ... + 6858708.

Almost surely, 218713691776 is an apocalyptic number.

18713691776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18713691776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255876550).

18713691776 is an abundant number, since it is smaller than the sum of its proper divisors (21798061324).

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

18713691776 is a wasteful number, since it uses less digits than its factorization.

18713691776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3061 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 56.

The spelling of 18713691776 in words is "eighteen billion, seven hundred thirteen million, six hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 317 338 416 634 676 832 1268 1352 1664 2536 2704 2729 4121 5072 5408 5458 8242 10144 10816 10916 16484 20288 21632 21832 32968 35477 40576 43664 53573 65936 70954 87328 107146 131872 141908 174656 214292 263744 283816 349312 428584 461201 527488 567632 857168 865093 922402 1135264 1714336 1730186 1844804 2270528 3428672 3460372 3689608 4541056 6857344 6920744 7379216 11246209 13841488 14758432 22492418 27682976 29516864 44984836 55365952 59033728 89969672 110731904 146200717 179939344 292401434 359878688 584802868 719757376 1169605736 1439514752 2339211472 4678422944 9356845888 18713691776