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21644513442 = 2331941717247
BaseRepresentation
bin10100001010000111…
…010001000010100010
32001212102222012121000
4110022013101002202
5323311443412232
613535433012430
71364241220506
oct241207210242
961772865530
1021644513442
1191a7844342
124240854116
13206c2c7706
141094886306
1586a30e27c
hex50a1d10a2

21644513442 has 128 divisors (see below), whose sum is σ = 52603084800. Its totient is φ = 6573571200.

The previous prime is 21644513431. The next prime is 21644513447. The reversal of 21644513442 is 24431544612.

21644513442 is a `hidden beast` number, since 2 + 1 + 644 + 5 + 1 + 3 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21644513397 and 21644513406.

It is not an unprimeable number, because it can be changed into a prime (21644513447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2983063 + ... + 2990309.

It is an arithmetic number, because the mean of its divisors is an integer number (410961600).

Almost surely, 221644513442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21644513442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26301542400).

21644513442 is an abundant number, since it is smaller than the sum of its proper divisors (30958571358).

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

21644513442 is a wasteful number, since it uses less digits than its factorization.

21644513442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7389 (or 7383 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 21644513442 in words is "twenty-one billion, six hundred forty-four million, five hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 71 82 114 123 142 171 213 246 342 369 426 513 639 738 779 1026 1107 1278 1349 1558 1917 2214 2337 2698 2911 3834 4047 4674 5822 7011 7247 8094 8733 12141 14022 14494 17466 21033 21741 24282 26199 36423 42066 43482 52398 55309 65223 72846 78597 110618 130446 137693 157194 165927 195669 275386 297127 331854 391338 413079 497781 514537 594254 826158 891381 995562 1029074 1239237 1493343 1543611 1782762 2478474 2674143 2986686 3087222 3717711 4630833 5348286 5645413 7435422 8022429 9261666 9776203 11290826 13892499 16044858 16936239 19552406 21096017 27784998 29328609 33872478 42192034 50808717 58657218 63288051 87985827 101617434 126576102 152426151 175971654 189864153 263957481 304852302 379728306 400824323 527914962 569592459 801648646 1139184918 1202472969 2404945938 3607418907 7214837814 10822256721 21644513442