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21240827352 = 23322791105701
BaseRepresentation
bin10011110010000011…
…010100110111011000
32000211022100211101100
4103302003110313120
5322000122433402
613431412351400
71351240024233
oct236203246730
960738324340
1021240827352
11900a990a78
124149615560
1320067953c4
14105700241a
15844b6d71c
hex4f20d4dd8

21240827352 has 48 divisors (see below), whose sum is σ = 57548396880. Its totient is φ = 7077672000.

The previous prime is 21240827351. The next prime is 21240827369. The reversal of 21240827352 is 25372804212.

21240827352 is a `hidden beast` number, since 212 + 408 + 2 + 7 + 35 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240827351) 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 11 ways as a sum of consecutive naturals, for example, 148102 + ... + 253802.

It is an arithmetic number, because the mean of its divisors is an integer number (1198924935).

Almost surely, 221240827352 is an apocalyptic number.

It is an amenable number.

21240827352 is an abundant number, since it is smaller than the sum of its proper divisors (36307569528).

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

21240827352 is a wasteful number, since it uses less digits than its factorization.

21240827352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108504 (or 108497 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21240827352 in words is "twenty-one billion, two hundred forty million, eight hundred twenty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2791 5582 8373 11164 16746 22328 25119 33492 50238 66984 100476 105701 200952 211402 317103 422804 634206 845608 951309 1268412 1902618 2536824 3805236 7610472 295011491 590022982 885034473 1180045964 1770068946 2360091928 2655103419 3540137892 5310206838 7080275784 10620413676 21240827352