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21463106040 = 23325193137881
BaseRepresentation
bin10011111111010011…
…010000000111111000
32001101210121202102100
4103333103100013320
5322424023343130
613505432503400
71356606251115
oct237723200770
961353552370
1021463106040
119114400272
1241abb4ab60
13204085005c
14107874390c
15859428c60
hex4ff4d01f8

21463106040 has 96 divisors (see below), whose sum is σ = 73426438800. Its totient is φ = 5422256640.

The previous prime is 21463105991. The next prime is 21463106107. The reversal of 21463106040 is 4060136412.

21463106040 is a `hidden beast` number, since 2 + 1 + 46 + 3 + 10 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21463105995 and 21463106013.

It is a congruent number.

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, 1562101 + ... + 1575780.

Almost surely, 221463106040 is an apocalyptic number.

21463106040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21463106040 is an abundant number, since it is smaller than the sum of its proper divisors (51963332760).

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

21463106040 is a wasteful number, since it uses less digits than its factorization.

21463106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137917 (or 3137910 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 21463106040 in words is "twenty-one billion, four hundred sixty-three million, one hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 3137881 6275762 9413643 12551524 15689405 18827286 25103048 28240929 31378810 37654572 47068215 56481858 59619739 62757620 75309144 94136430 112963716 119239478 125515240 141204645 178859217 188272860 225927432 238478956 282409290 298098695 357718434 376545720 476957912 536577651 564818580 596197390 715436868 894296085 1073155302 1129637160 1192394780 1430873736 1788592170 2146310604 2384789560 2682888255 3577184340 4292621208 5365776510 7154368680 10731553020 21463106040