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21009922704 = 24324722572
BaseRepresentation
bin10011100100010010…
…011111101010010000
32000020012212122202100
4103210102133222100
5321012020011304
613352443320400
71342434252651
oct234422375220
960205778670
1021009922704
118a0160a991
1240a4220100
131c9a9aa434
141034497528
1582e75c439
hex4e449fa90

21009922704 has 135 divisors (see below), whose sum is σ = 60310924297. Its totient is φ = 6827630592.

The previous prime is 21009922693. The next prime is 21009922709. The reversal of 21009922704 is 40722990012.

The square root of 21009922704 is 144948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20684192400 + 325730304 = 143820^2 + 18048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21009922709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81750544 + ... + 81750800.

Almost surely, 221009922704 is an apocalyptic number.

21009922704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21009922704 is the 144948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21009922704

21009922704 is an abundant number, since it is smaller than the sum of its proper divisors (39301001593).

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

21009922704 is an equidigital number, since it uses as much as digits as its factorization.

21009922704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 21009922704 by its sum of digits (36), we get a square (756357217344 = 8696882).

21009922704 divided by its sum of digits (36) gives a square (583608964 = 241582).

The spelling of 21009922704 in words is "twenty-one billion, nine million, nine hundred twenty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 257 282 376 423 514 564 752 771 846 1028 1128 1542 1692 2056 2209 2256 2313 3084 3384 4112 4418 4626 6168 6627 6768 8836 9252 12079 12336 13254 17672 18504 19881 24158 26508 35344 36237 37008 39762 48316 53016 66049 72474 79524 96632 106032 108711 132098 144948 159048 193264 198147 217422 264196 289896 318096 396294 434844 528392 567713 579792 594441 792588 869688 1056784 1135426 1188882 1585176 1703139 1739376 2270852 2377764 3104303 3170352 3406278 4541704 4755528 5109417 6208606 6812556 9083408 9312909 9511056 10218834 12417212 13625112 18625818 20437668 24834424 27250224 27938727 37251636 40875336 49668848 55877454 74503272 81750672 111754908 145902241 149006544 223509816 291804482 437706723 447019632 583608964 875413446 1167217928 1313120169 1750826892 2334435856 2626240338 3501653784 5252480676 7003307568 10504961352 21009922704