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21433441200032 = 255380915621313
BaseRepresentation
bin1001101111110010111001…
…01001100010011110100000
32210220000110100222021111202
410313321130221202132200
510302131141421400112
6113330215325500332
74341341440131641
oct467713451423640
983800410867452
1021433441200032
116913964874924
1224a1b401116a8
13bc621b1a2624
14541553d256c8
152727edcb46c2
hex137e5ca627a0

21433441200032 has 48 divisors (see below), whose sum is σ = 43046405284680. Its totient is φ = 10501520719872.

The previous prime is 21433441200029. The next prime is 21433441200043. The reversal of 21433441200032 is 23000214433412.

It can be written as a sum of positive squares in 4 ways, for example, as 19082604036496 + 2350837163536 = 4368364^2 + 1533244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21433441199968 and 21433441200004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6438593 + ... + 9182720.

Almost surely, 221433441200032 is an apocalyptic number.

It is an amenable number.

21433441200032 is an abundant number, since it is smaller than the sum of its proper divisors (21612964084648).

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

21433441200032 is a wasteful number, since it uses less digits than its factorization.

21433441200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622185 (or 15622177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 21433441200032 its reverse (23000214433412), we get a palindrome (44433655633444).

The spelling of 21433441200032 in words is "twenty-one trillion, four hundred thirty-three billion, four hundred forty-one million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 809 848 1618 1696 3236 6472 12944 25888 42877 85754 171508 343016 686032 1372064 15621313 31242626 62485252 124970504 249941008 499882016 827929589 1655859178 3311718356 6623436712 12637642217 13246873424 25275284434 26493746848 50550568868 101101137736 202202275472 404404550944 669795037501 1339590075002 2679180150004 5358360300008 10716720600016 21433441200032