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17111689992 = 2334157168197
BaseRepresentation
bin11111110111110111…
…11010101100001000
31122011112122220210000
433323323322230020
5240021043034432
611505550523000
71144020652005
oct177373725410
948145586700
1017111689992
117291114a61
123396806460
1317c919aa67
14b848748ac
156a23da57c
hex3fbefab08

17111689992 has 80 divisors (see below), whose sum is σ = 48234140460. Its totient is φ = 5667532416.

The previous prime is 17111689967. The next prime is 17111690003. The reversal of 17111689992 is 29998611171.

It can be written as a sum of positive squares in 2 ways, for example, as 17016158916 + 95531076 = 130446^2 + 9774^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17638 + ... + 185834.

Almost surely, 217111689992 is an apocalyptic number.

17111689992 is a gapful number since it is divisible by the number (12) 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 17111689992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117070230).

17111689992 is an abundant number, since it is smaller than the sum of its proper divisors (31122450468).

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

17111689992 is a wasteful number, since it uses less digits than its factorization.

17111689992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168372 (or 168359 counting only the distinct ones).

The product of its digits is 489888, while the sum is 54.

The spelling of 17111689992 in words is "seventeen billion, one hundred eleven million, six hundred eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 12717 16956 25434 33912 50868 101736 168197 336394 504591 672788 1009182 1345576 1513773 2018364 3027546 4036728 4541319 6055092 9082638 12110184 13623957 18165276 26406929 27247914 36330552 52813858 54495828 79220787 105627716 108991656 158441574 211255432 237662361 316883148 475324722 633766296 712987083 950649444 1425974166 1901298888 2138961249 2851948332 4277922498 5703896664 8555844996 17111689992