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20031699744 = 2532746721277
BaseRepresentation
bin10010101001111110…
…110111101100100000
31220201001011210010100
4102221332313230200
5312011103342434
613111420502400
71306255431660
oct225176675440
956631153110
1020031699744
11854a410561
123a706aaa00
131b73126494
14d805b81a0
157c392d699
hex4a9fb7b20

20031699744 has 144 divisors (see below), whose sum is σ = 65245497408. Its totient is φ = 5710818816.

The previous prime is 20031699739. The next prime is 20031699803. The reversal of 20031699744 is 44799613002.

It is a happy number.

20031699744 is a `hidden beast` number, since 200 + 316 + 9 + 97 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20031699744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930834 + ... + 952110.

It is an arithmetic number, because the mean of its divisors is an integer number (453093732).

Almost surely, 220031699744 is an apocalyptic number.

20031699744 is a gapful number since it is divisible by the number (24) 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 20031699744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622748704).

20031699744 is an abundant number, since it is smaller than the sum of its proper divisors (45213797664).

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

20031699744 is a wasteful number, since it uses less digits than its factorization.

20031699744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21767 (or 21756 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20031699744 in words is "twenty billion, thirty-one million, six hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 467 504 672 934 1008 1401 1868 2016 2802 3269 3736 4203 5604 6538 7472 8406 9807 11208 13076 14944 16812 19614 21277 22416 26152 29421 33624 39228 42554 44832 52304 58842 63831 67248 78456 85108 104608 117684 127662 134496 148939 156912 170216 191493 235368 255324 297878 313824 340432 382986 446817 470736 510648 595756 680864 765972 893634 941472 1021296 1191512 1340451 1531944 1787268 2042592 2383024 2680902 3063888 3574536 4766048 5361804 6127776 7149072 9936359 10723608 14298144 19872718 21447216 29809077 39745436 42894432 59618154 69554513 79490872 89427231 119236308 139109026 158981744 178854462 208663539 238472616 278218052 317963488 357708924 417327078 476945232 556436104 625990617 715417848 834654156 953890464 1112872208 1251981234 1430835696 1669308312 2225744416 2503962468 2861671392 3338616624 5007924936 6677233248 10015849872 20031699744