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19839384288 = 2532611378243
BaseRepresentation
bin10010011110100001…
…001111101011100000
31220012122022010220200
4102132201033223200
5311112340244123
613040350505200
71301431661343
oct223641175340
956178263820
1019839384288
1184608a7069
123a18205200
131b4232cb59
14d62c3645a
157b1ae1143
hex49e84fae0

19839384288 has 144 divisors (see below), whose sum is σ = 57768708816. Its totient is φ = 6456453120.

The previous prime is 19839384283. The next prime is 19839384289. The reversal of 19839384288 is 88248393891.

19839384288 is a `hidden beast` number, since 1 + 98 + 393 + 84 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19839384283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402695 + ... + 2410937.

It is an arithmetic number, because the mean of its divisors is an integer number (401171589).

Almost surely, 219839384288 is an apocalyptic number.

19839384288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19839384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28884354408).

19839384288 is an abundant number, since it is smaller than the sum of its proper divisors (37929324528).

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

19839384288 is a wasteful number, since it uses less digits than its factorization.

19839384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8446 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 19839384288 in words is "nineteen billion, eight hundred thirty-nine million, three hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 137 144 183 244 274 288 366 411 488 548 549 732 822 976 1096 1098 1233 1464 1644 1952 2192 2196 2466 2928 3288 4384 4392 4932 5856 6576 8243 8357 8784 9864 13152 16486 16714 17568 19728 24729 25071 32972 33428 39456 49458 50142 65944 66856 74187 75213 98916 100284 131888 133712 148374 150426 197832 200568 263776 267424 296748 300852 395664 401136 502823 593496 601704 791328 802272 1005646 1129291 1186992 1203408 1508469 2011292 2258582 2373984 2406816 3016938 3387873 4022584 4517164 4525407 6033876 6775746 8045168 9034328 9050814 10163619 12067752 13551492 16090336 18068656 18101628 20327238 24135504 27102984 36137312 36203256 40654476 48271008 54205968 68886751 72406512 81308952 108411936 137773502 144813024 162617904 206660253 275547004 325235808 413320506 551094008 619980759 826641012 1102188016 1239961518 1653282024 2204376032 2479923036 3306564048 4959846072 6613128096 9919692144 19839384288