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21609084285 = 3351731378209
BaseRepresentation
bin10100001000000000…
…000111010101111101
32001202222022012221000
4110020000013111331
5323223411144120
613532125400513
71363331120505
oct241000072575
961688265830
1021609084285
119189845948
124230a09139
132064b71509
14108dca2a05
15867161990
hex50800757d

21609084285 has 128 divisors (see below), whose sum is σ = 43128115200. Its totient is φ = 10212065280.

The previous prime is 21609084281. The next prime is 21609084307. The reversal of 21609084285 is 58248090612.

21609084285 is a `hidden beast` number, since 216 + 0 + 9 + 0 + 8 + 428 + 5 = 666.

It is not a de Polignac number, because 21609084285 - 22 = 21609084281 is a prime.

It is a super-2 number, since 2×216090842852 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21609084285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21609084281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2628261 + ... + 2636469.

It is an arithmetic number, because the mean of its divisors is an integer number (336938400).

Almost surely, 221609084285 is an apocalyptic number.

It is an amenable number.

21609084285 is a deficient number, since it is larger than the sum of its proper divisors (21519030915).

21609084285 is a wasteful number, since it uses less digits than its factorization.

21609084285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8308 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21609084285 in words is "twenty-one billion, six hundred nine million, eighty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 27 31 37 45 51 85 93 111 135 153 155 185 255 279 333 459 465 527 555 629 765 837 999 1147 1395 1581 1665 1887 2295 2635 3145 3441 4185 4743 4995 5661 5735 7905 8209 9435 10323 14229 16983 17205 19499 23715 24627 28305 30969 41045 51615 58497 71145 73881 84915 97495 123135 139553 154845 175491 221643 254479 292485 303733 369405 418659 526473 697765 763437 877455 911199 1108215 1255977 1272395 1518665 2093295 2290311 2632365 2733597 3767931 3817185 4326143 4555995 5163461 6279885 6870933 8200791 9415723 11451555 12978429 13667985 15490383 18839655 21630715 25817305 28247169 34354665 38935287 41003955 46471149 47078615 64892145 77451915 84741507 116805861 139413447 141235845 160067291 194676435 232355745 254224521 423707535 480201873 584029305 697067235 800336455 1271122605 1440605619 2401009365 4321816857 7203028095 21609084285