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21385255545 = 325291091491009
BaseRepresentation
bin10011111010101010…
…010001101001111001
32001012101010112121200
4103322222101221321
5322244111134140
613454012124413
71354642446543
oct237252215171
961171115550
1021385255545
119084468015
124189a66709
13202a693184
14106c27a693
1585269c030
hex4faa91a79

21385255545 has 96 divisors (see below), whose sum is σ = 38996100000. Its totient is φ = 10827177984.

The previous prime is 21385255469. The next prime is 21385255547. The reversal of 21385255545 is 54555258312.

21385255545 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 52 + 55 + 545 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8191517049 + 13193738496 = 90507^2 + 114864^2 .

It is not a de Polignac number, because 21385255545 - 28 = 21385255289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 21385255545.

It is not an unprimeable number, because it can be changed into a prime (21385255547) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21194001 + ... + 21195009.

It is an arithmetic number, because the mean of its divisors is an integer number (406209375).

Almost surely, 221385255545 is an apocalyptic number.

It is an amenable number.

21385255545 is a deficient number, since it is larger than the sum of its proper divisors (17610844455).

21385255545 is a wasteful number, since it uses less digits than its factorization.

21385255545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1304 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 21385255545 in words is "twenty-one billion, three hundred eighty-five million, two hundred fifty-five thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 109 145 149 261 327 435 447 545 745 981 1009 1305 1341 1635 2235 3027 3161 4321 4905 5045 6705 9081 9483 12963 15135 15805 16241 21605 28449 29261 38889 45405 47415 48723 64815 81205 87783 109981 142245 146169 146305 150341 194445 243615 263349 329943 438915 451023 470989 549905 730845 751705 989829 1316745 1353069 1412967 1649715 2255115 2354945 3189449 4238901 4359889 4949145 6765345 7064835 9568347 13079667 15947245 16387169 21194505 21799445 28705041 39239001 47841735 49161507 65398335 81935845 143525205 147484521 196195005 245807535 475227901 737422605 1425683703 2376139505 4277051109 7128418515 21385255545