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19683879696 = 24321310514893
BaseRepresentation
bin10010010101010000…
…000010101100010000
31212210210200200201100
4102111100002230100
5310303033122241
613013113504400
71264533134235
oct222520025420
955723620640
1019683879696
118391045178
123994112100
131b190545c0
14d4a31778c
157a31259b6
hex495402b10

19683879696 has 60 divisors (see below), whose sum is σ = 59325031948. Its totient is φ = 6056577792.

The previous prime is 19683879689. The next prime is 19683879701. The reversal of 19683879696 is 69697838691.

19683879696 is a `hidden beast` number, since 19 + 68 + 387 + 96 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6816153600 + 12867726096 = 82560^2 + 113436^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5255575 + ... + 5259318.

Almost surely, 219683879696 is an apocalyptic number.

19683879696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19683879696 is an abundant number, since it is smaller than the sum of its proper divisors (39641152252).

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

19683879696 is a wasteful number, since it uses less digits than its factorization.

19683879696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514920 (or 10514911 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 19683879696 in words is "nineteen billion, six hundred eighty-three million, eight hundred seventy-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 10514893 21029786 31544679 42059572 63089358 84119144 94634037 126178716 136693609 168238288 189268074 252357432 273387218 378536148 410080827 504714864 546774436 757072296 820161654 1093548872 1230242481 1514144592 1640323308 2187097744 2460484962 3280646616 4920969924 6561293232 9841939848 19683879696