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21232084032 = 2632108733911
BaseRepresentation
bin10011110001100001…
…111110010001000000
32000210200220121210200
4103301201332101000
5321440403142112
613430501125200
71351102510425
oct236141762100
960720817720
1021232084032
119005a59a95
1241466b9800
132004a23843
141055ba7d4c
15843ee2cdc
hex4f187e440

21232084032 has 84 divisors (see below), whose sum is σ = 60915718656. Its totient is φ = 7070641920.

The previous prime is 21232084031. The next prime is 21232084067. The reversal of 21232084032 is 23048023212.

21232084032 is a `hidden beast` number, since 21 + 232 + 0 + 8 + 403 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21232083987 and 21232084005.

It is not an unprimeable number, because it can be changed into a prime (21232084031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609157 + ... + 643067.

Almost surely, 221232084032 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 21232084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30457859328).

21232084032 is an abundant number, since it is smaller than the sum of its proper divisors (39683634624).

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

21232084032 is a wasteful number, since it uses less digits than its factorization.

21232084032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35016 (or 35003 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 21232084032 in words is "twenty-one billion, two hundred thirty-two million, eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1087 2174 3261 4348 6522 8696 9783 13044 17392 19566 26088 33911 34784 39132 52176 67822 69568 78264 101733 104352 135644 156528 203466 208704 271288 305199 313056 406932 542576 610398 626112 813864 1085152 1220796 1627728 2170304 2441592 3255456 4883184 6510912 9766368 19532736 36861257 73722514 110583771 147445028 221167542 294890056 331751313 442335084 589780112 663502626 884670168 1179560224 1327005252 1769340336 2359120448 2654010504 3538680672 5308021008 7077361344 10616042016 21232084032