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21213566532 = 22323767467509
BaseRepresentation
bin10011110000011011…
…010101011001000100
32000202102001211120100
4103300123111121010
5321421133112112
613425000204100
71350456224514
oct236033253104
960672054510
1021213566532
118aa6561574
124140469630
132000c3c142
141053547844
158425862dc
hex4f06d5644

21213566532 has 144 divisors (see below), whose sum is σ = 56124169920. Its totient is φ = 6749588736.

The previous prime is 21213566527. The next prime is 21213566533. The reversal of 21213566532 is 23566531212.

21213566532 is a `hidden beast` number, since 21 + 21 + 3 + 566 + 53 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21213566533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41676694 + ... + 41677202.

It is an arithmetic number, because the mean of its divisors is an integer number (389751180).

Almost surely, 221213566532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213566532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062084960).

21213566532 is an abundant number, since it is smaller than the sum of its proper divisors (34910603388).

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

21213566532 is a wasteful number, since it uses less digits than its factorization.

21213566532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1085 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

It can be divided in two parts, 2121 and 3566532, that added together give a palindrome (3568653).

The spelling of 21213566532 in words is "twenty-one billion, two hundred thirteen million, five hundred sixty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 268 333 402 444 467 509 603 666 804 934 1018 1206 1332 1401 1527 1868 2036 2412 2479 2802 3054 4203 4581 4958 5604 6108 7437 8406 9162 9916 14874 16812 17279 18324 18833 22311 29748 31289 34103 34558 37666 44622 51837 56499 62578 68206 69116 75332 89244 93867 102309 103674 112998 125156 136412 155511 169497 187734 204618 207348 225996 237703 281601 306927 311022 338994 375468 409236 475406 563202 613854 622044 677988 713109 950812 1126404 1157693 1227708 1261811 1426218 2139327 2315386 2523622 2852436 3473079 3785433 4278654 4630772 5047244 6946158 7570866 8557308 8795011 10419237 11356299 13892316 15141732 15926101 17590022 20838474 22712598 26385033 31852202 35180044 41676948 45425196 47778303 52770066 63704404 79155099 95556606 105540132 143334909 158310198 191113212 286669818 316620396 573339636 589265737 1178531474 1767797211 2357062948 3535594422 5303391633 7071188844 10606783266 21213566532