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21630536172 = 22327531978221
BaseRepresentation
bin10100001001010001…
…111100100111101100
32001211110200002101100
4110021101330213230
5323244404124142
613534213243100
71364011344450
oct241121744754
961743602340
1021630536172
11919a967a83
124238033490
13206944273b
141092a88660
15868e9cb4c
hex50947c9ec

21630536172 has 144 divisors (see below), whose sum is σ = 63998206272. Its totient is φ = 6032033280.

The previous prime is 21630536171. The next prime is 21630536183. The reversal of 21630536172 is 27163503612.

21630536172 is a `hidden beast` number, since 2 + 1 + 6 + 30 + 5 + 3 + 617 + 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 (21630536171) 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 47 ways as a sum of consecutive naturals, for example, 2627022 + ... + 2635242.

It is an arithmetic number, because the mean of its divisors is an integer number (444431988).

Almost surely, 221630536172 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 21630536172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999103136).

21630536172 is an abundant number, since it is smaller than the sum of its proper divisors (42367670100).

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

21630536172 is a wasteful number, since it uses less digits than its factorization.

21630536172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 21630536172 in words is "twenty-one billion, six hundred thirty million, five hundred thirty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 197 212 252 318 371 394 477 591 636 742 788 954 1113 1182 1379 1484 1773 1908 2226 2364 2758 3339 3546 4137 4452 5516 6678 7092 8221 8274 10441 12411 13356 16442 16548 20882 24663 24822 31323 32884 41764 49326 49644 57547 62646 73087 73989 93969 98652 115094 125292 146174 147978 172641 187938 219261 230188 292348 295956 345282 375876 435713 438522 517923 657783 690564 871426 877044 1035846 1307139 1315566 1619537 1742852 2071692 2614278 2631132 3049991 3239074 3921417 4858611 5228556 6099982 6478148 7842834 9149973 9717222 11336759 12199964 14575833 15685668 18299946 19434444 22673518 27449919 29151666 34010277 36599892 45347036 54899838 58303332 68020554 85835461 102030831 109799676 136041108 171670922 204061662 257506383 343341844 408123324 515012766 600848227 772519149 1030025532 1201696454 1545038298 1802544681 2403392908 3090076596 3605089362 5407634043 7210178724 10815268086 21630536172