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21532405041 = 3473137113293
BaseRepresentation
bin10100000011011011…
…100110110100110001
32001120122000111210000
4110003123212310301
5323044243430131
613520350100213
71361410265040
oct240333466461
961518014700
1021532405041
11914a532674
12420b1aa669
132052004794
141083a22557
15860566ce6
hex5036e6d31

21532405041 has 160 divisors (see below), whose sum is σ = 39451281408. Its totient is φ = 11443783680.

The previous prime is 21532405001. The next prime is 21532405073. The reversal of 21532405041 is 14050423512.

21532405041 is a `hidden beast` number, since 2 + 1 + 532 + 40 + 50 + 41 = 666.

It is not a de Polignac number, because 21532405041 - 26 = 21532404977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21532404996 and 21532405014.

It is not an unprimeable number, because it can be changed into a prime (21532405001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73489291 + ... + 73489583.

Almost surely, 221532405041 is an apocalyptic number.

21532405041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21532405041 is a deficient number, since it is larger than the sum of its proper divisors (17918876367).

21532405041 is a wasteful number, since it uses less digits than its factorization.

21532405041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 21532405041 its reverse (14050423512), we get a palindrome (35582828553).

The spelling of 21532405041 in words is "twenty-one billion, five hundred thirty-two million, four hundred five thousand, forty-one".

Divisors: 1 3 7 9 21 27 31 37 63 81 93 111 113 189 217 259 279 293 333 339 567 651 777 791 837 879 999 1017 1147 1953 2051 2331 2373 2511 2637 2997 3051 3441 3503 4181 5859 6153 6993 7119 7911 8029 9083 9153 10323 10509 10841 12543 17577 18459 20979 21357 23733 24087 24521 27249 29267 30969 31527 32523 33109 37629 55377 63581 64071 72261 73563 75887 81747 87801 92907 94581 97569 99327 112887 129611 166131 190743 216783 220689 227661 231763 245241 263403 283743 292707 297981 336071 338661 388833 572229 650349 662067 682983 695289 735723 790209 878121 893943 907277 1008213 1026379 1166499 1225033 1716687 1986201 2048949 2085867 2352497 2370627 2681829 2721831 3024639 3079137 3499497 3675099 5150061 6146847 6257601 7057491 7184653 8165493 8575231 9073917 9237411 10498491 11025297 18772803 21172473 21553959 24496479 25725693 27221751 27712233 33075891 37976023 63517419 64661877 73489437 77177079 83136699 99227673 113928069 190552257 193985631 231531237 265832161 341784207 581956893 694593711 797496483 1025352621 2392489449 3076057863 7177468347 21532405041