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19982563488 = 253361379147
BaseRepresentation
bin10010100111000011…
…011011100010100000
31220120121201101212000
4102213003123202200
5311411014012423
613102503404000
71305120662406
oct224703334240
956517641760
1019982563488
1185246aa788
123a58153600
131b65bb1284
14d77c67476
157be474843
hex4a70db8a0

19982563488 has 96 divisors (see below), whose sum is σ = 59238083520. Its totient is φ = 6551642880.

The previous prime is 19982563483. The next prime is 19982563501. The reversal of 19982563488 is 88436528991.

19982563488 is a `hidden beast` number, since 1 + 9 + 98 + 2 + 5 + 63 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×199825634882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19982563483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136870 + ... + 242277.

It is an arithmetic number, because the mean of its divisors is an integer number (617063370).

Almost surely, 219982563488 is an apocalyptic number.

19982563488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19982563488 is an abundant number, since it is smaller than the sum of its proper divisors (39255520032).

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

19982563488 is a wasteful number, since it uses less digits than its factorization.

19982563488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379227 (or 379213 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 19982563488 in words is "nineteen billion, nine hundred eighty-two million, five hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 52704 379147 758294 1137441 1516588 2274882 3033176 3412323 4549764 6066352 6824646 9099528 10236969 12132704 13649292 18199056 20473938 23127967 27298584 36398112 40947876 46255934 54597168 69383901 81895752 92511868 109194336 138767802 163791504 185023736 208151703 277535604 327583008 370047472 416303406 555071208 624455109 740094944 832606812 1110142416 1248910218 1665213624 2220284832 2497820436 3330427248 4995640872 6660854496 9991281744 19982563488