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16683980490 = 23252293892081
BaseRepresentation
bin11111000100111000…
…10101011011001010
31121001201212000122100
433202130111123022
5233132044333430
611355311334230
71130305331352
oct174234253312
947051760570
1016683980490
117091743531
123297521376
13175b6a6c08
14b43b39b62
15679aa1960
hex3e27156ca

16683980490 has 96 divisors (see below), whose sum is σ = 43700763600. Its totient is φ = 4416122880.

The previous prime is 16683980477. The next prime is 16683980507. The reversal of 16683980490 is 9408938661.

16683980490 is a `hidden beast` number, since 1 + 6 + 68 + 3 + 98 + 0 + 490 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8158966929 + 8525013561 = 90327^2 + 92331^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 8016250 + ... + 8018330.

Almost surely, 216683980490 is an apocalyptic number.

16683980490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16683980490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21850381800).

16683980490 is an abundant number, since it is smaller than the sum of its proper divisors (27016783110).

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

16683980490 is a wasteful number, since it uses less digits than its factorization.

16683980490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16683980490 in words is "sixteen billion, six hundred eighty-three million, nine hundred eighty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 389 458 687 778 1145 1167 1374 1945 2061 2081 2290 2334 3435 3501 3890 4122 4162 5835 6243 6870 7002 10305 10405 11670 12486 17505 18729 20610 20810 31215 35010 37458 62430 89081 93645 178162 187290 267243 445405 476549 534486 801729 809509 890810 953098 1336215 1429647 1603458 1619018 2382745 2428527 2672430 2859294 4008645 4047545 4288941 4765490 4857054 7148235 7285581 8017290 8095090 8577882 12142635 14296470 14571162 21444705 24285270 36427905 42889410 72855810 185377561 370755122 556132683 926887805 1112265366 1668398049 1853775610 2780663415 3336796098 5561326830 8341990245 16683980490