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1985784968 = 23374723037
BaseRepresentation
bin111011001011100…
…1010110010001000
312010101121022212102
41312113022302020
513031330104333
6525014132532
7100131615356
oct16627126210
95111538772
101985784968
11929a18702
12475051148
1325853b0bb
1414ba387d6
15b9505ae8
hex765cac88

1985784968 has 48 divisors (see below), whose sum is σ = 3908356620. Its totient is φ = 945191808.

The previous prime is 1985784967. The next prime is 1985784979. The reversal of 1985784968 is 8694875891.

It can be written as a sum of positive squares in 2 ways, for example, as 1656652804 + 329132164 = 40702^2 + 18142^2 .

It is a super-3 number, since 3×19857849683 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1985784967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652346 + ... + 655382.

Almost surely, 21985784968 is an apocalyptic number.

It is an amenable number.

1985784968 is a deficient number, since it is larger than the sum of its proper divisors (1922571652).

1985784968 is a wasteful number, since it uses less digits than its factorization.

1985784968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3123 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 65.

The square root of 1985784968 is about 44562.1472552659. The cubic root of 1985784968 is about 1256.9289802574.

The spelling of 1985784968 in words is "one billion, nine hundred eighty-five million, seven hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 37 47 74 94 148 188 296 376 1739 2209 3037 3478 4418 6074 6956 8836 12148 13912 17672 24296 81733 112369 142739 163466 224738 285478 326932 449476 570956 653864 898952 1141912 5281343 6708733 10562686 13417466 21125372 26834932 42250744 53669864 248223121 496446242 992892484 1985784968