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19910478672 = 2433738317191
BaseRepresentation
bin10010100010110000…
…011100101101010000
31220101121002010002000
4102202300130231100
5311234040304142
613051410354000
71303254163530
oct224260345520
956347063060
1019910478672
118497a45357
123a37b8b900
131b53c92836
14d6c4614c0
157b7e8614c
hex4a2c1cb50

19910478672 has 160 divisors (see below), whose sum is σ = 65489141760. Its totient is φ = 5673525120.

The previous prime is 19910478649. The next prime is 19910478713. The reversal of 19910478672 is 27687401991.

19910478672 is a `hidden beast` number, since 1 + 99 + 10 + 478 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149597 + ... + 1166787.

It is an arithmetic number, because the mean of its divisors is an integer number (409307136).

Almost surely, 219910478672 is an apocalyptic number.

19910478672 is a gapful number since it is divisible by the number (12) 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 19910478672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32744570880).

19910478672 is an abundant number, since it is smaller than the sum of its proper divisors (45578663088).

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

19910478672 is a wasteful number, since it uses less digits than its factorization.

19910478672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17598 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 19910478672 in words is "nineteen billion, nine hundred ten million, four hundred seventy-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 383 432 504 756 766 1008 1149 1512 1532 2298 2681 3024 3064 3447 4596 5362 6128 6894 8043 9192 10341 10724 13788 16086 17191 18384 20682 21448 24129 27576 32172 34382 41364 42896 48258 51573 55152 64344 68764 72387 82728 96516 103146 120337 128688 137528 144774 154719 165456 193032 206292 240674 275056 289548 309438 361011 386064 412584 464157 481348 579096 618876 722022 825168 928314 962696 1083033 1158192 1237752 1444044 1856628 1925392 2166066 2475504 2888088 3249099 3713256 4332132 5776176 6498198 6584153 7426512 8664264 12996396 13168306 17328528 19752459 25992792 26336612 39504918 46089071 51985584 52673224 59257377 79009836 92178142 105346448 118514754 138267213 158019672 177772131 184356284 237029508 276534426 316039344 355544262 368712568 414801639 474059016 553068852 711088524 737425136 829603278 948118032 1106137704 1244404917 1422177048 1659206556 2212275408 2488809834 2844354096 3318413112 4977619668 6636826224 9955239336 19910478672