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1683742494 = 2371929312347
BaseRepresentation
bin110010001011011…
…1101111100011110
311100100020222111010
41210112331330132
511422014224434
6435024240050
756503401150
oct14426757436
94310228433
101683742494
11794479725
123aba70026
1320aaa6745
1411d892ad0
159cc419e9
hex645bdf1e

1683742494 has 128 divisors (see below), whose sum is σ = 4327833600. Its totient is φ = 425658240.

The previous prime is 1683742483. The next prime is 1683742499. The reversal of 1683742494 is 4942473861.

It is a super-2 number, since 2×16837424942 = 5669977572202680072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683742499) 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 63 ways as a sum of consecutive naturals, for example, 716229 + ... + 718575.

It is an arithmetic number, because the mean of its divisors is an integer number (33811200).

Almost surely, 21683742494 is an apocalyptic number.

1683742494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683742494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163916800).

1683742494 is an abundant number, since it is smaller than the sum of its proper divisors (2644091106).

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

1683742494 is a wasteful number, since it uses less digits than its factorization.

1683742494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438.

The product of its digits is 1161216, while the sum is 48.

The square root of 1683742494 is about 41033.4314187834. The cubic root of 1683742494 is about 1189.6664776311. Note that the first 3 decimals are identical.

The spelling of 1683742494 in words is "one billion, six hundred eighty-three million, seven hundred forty-two thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 29 31 38 42 57 58 62 87 93 114 133 174 186 203 217 266 399 406 434 551 589 609 651 798 899 1102 1178 1218 1302 1653 1767 1798 2347 2697 3306 3534 3857 4123 4694 5394 6293 7041 7714 8246 11571 12369 12586 14082 16429 17081 18879 23142 24738 32858 34162 37758 44593 49287 51243 68063 72757 89186 98574 102486 119567 133779 136126 145514 204189 218271 239134 267558 312151 358701 408378 436542 476441 509299 624302 717402 936453 952882 1018598 1293197 1382383 1429323 1527897 1872906 2109953 2586394 2764766 2858646 3055794 3879591 4147149 4219906 6329859 7759182 8294298 9052379 9676681 12659718 14769671 18104758 19353362 27157137 29030043 29539342 40089107 44309013 54314274 58060086 80178214 88618026 120267321 240534642 280623749 561247498 841871247 1683742494