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19884464664 = 2331723192479
BaseRepresentation
bin10010100001001101…
…001101101000011000
31220022210010110120020
4102201031031220120
5311210410332124
613045041030440
71302520106121
oct224115155030
956283113506
1019884464664
118484297679
123a2b325420
131b4b784c2c
14d68c0d048
157b5a48379
hex4a134da18

19884464664 has 96 divisors (see below), whose sum is σ = 54511411200. Its totient is φ = 6036963840.

The previous prime is 19884464653. The next prime is 19884464723. The reversal of 19884464664 is 46646448891.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 19884464598 and 19884464607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168777 + ... + 261255.

It is an arithmetic number, because the mean of its divisors is an integer number (567827200).

Almost surely, 219884464664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19884464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27255705600).

19884464664 is an abundant number, since it is smaller than the sum of its proper divisors (34626946536).

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

19884464664 is a wasteful number, since it uses less digits than its factorization.

19884464664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92553 (or 92532 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 19884464664 in words is "nineteen billion, eight hundred eighty-four million, four hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 289 372 408 527 578 744 867 1054 1156 1581 1734 2108 2312 3162 3468 4216 6324 6936 8959 12648 17918 26877 35836 53754 71672 92479 107508 184958 215016 277437 369916 554874 739832 1109748 1572143 2219496 2866849 3144286 4716429 5733698 6288572 8600547 9432858 11467396 12577144 17201094 18865716 22934792 26726431 34402188 37731432 48736433 53452862 68804376 80179293 97472866 106905724 146209299 160358586 194945732 213811448 292418598 320717172 389891464 584837196 641434344 828519361 1169674392 1657038722 2485558083 3314077444 4971116166 6628154888 9942232332 19884464664