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21439769148 = 2234723411007
BaseRepresentation
bin10011111101111010…
…001110101000111100
32001100011201010020000
4103331322032220330
5322402040103043
613503240354300
71356204013410
oct237572165074
961304633200
1021439769148
119102210986
1241a4175990
132038a6bb45
1410755cad40
158573692d3
hex4fde8ea3c

21439769148 has 120 divisors (see below), whose sum is σ = 66839764992. Its totient is φ = 5859301536.

The previous prime is 21439769111. The next prime is 21439769161. The reversal of 21439769148 is 84196793412.

21439769148 is a `hidden beast` number, since 2 + 1 + 439 + 7 + 69 + 148 = 666.

It is a super-2 number, since 2×214397691482 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21439769094 and 21439769103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153340 + ... + 257667.

Almost surely, 221439769148 is an apocalyptic number.

21439769148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21439769148 is an abundant number, since it is smaller than the sum of its proper divisors (45399995844).

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

21439769148 is a wasteful number, since it uses less digits than its factorization.

21439769148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411053 (or 411042 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 21439769148 in words is "twenty-one billion, four hundred thirty-nine million, seven hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 207 252 276 322 324 378 414 483 567 621 644 756 828 966 1134 1242 1449 1863 1932 2268 2484 2898 3726 4347 5796 7452 8694 13041 17388 26082 52164 411007 822014 1233021 1644028 2466042 2877049 3699063 4932084 5754098 7398126 8631147 9453161 11097189 11508196 14796252 17262294 18906322 22194378 25893441 28359483 33291567 34524588 37812644 44388756 51786882 56718966 66172127 66583134 77680323 85078449 103573764 113437932 132344254 133166268 155360646 170156898 198516381 233040969 255235347 264688508 310721292 340313796 397032762 466081938 510470694 595549143 765706041 794065524 932163876 1020941388 1191098286 1531412082 1786647429 2382196572 3062824164 3573294858 5359942287 7146589716 10719884574 21439769148