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21688546272 = 253491460127
BaseRepresentation
bin10100001100101111…
…001111001111100000
32001222111211022021120
4110030233033033200
5323404231440042
613544044452240
71365314413221
oct241457171740
961874738246
1021688546272
11921a689908
12425354a080
132078473a43
14109a669248
1586e10adec
hex50cbcf3e0

21688546272 has 48 divisors (see below), whose sum is σ = 57048509952. Its totient is φ = 7214775680.

The previous prime is 21688546267. The next prime is 21688546289. The reversal of 21688546272 is 27264588612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182928 + ... + 277199.

It is an arithmetic number, because the mean of its divisors is an integer number (1188510624).

Almost surely, 221688546272 is an apocalyptic number.

It is an amenable number.

21688546272 is an abundant number, since it is smaller than the sum of its proper divisors (35359963680).

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

21688546272 is a wasteful number, since it uses less digits than its factorization.

21688546272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460631 (or 460623 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 21688546272 in words is "twenty-one billion, six hundred eighty-eight million, five hundred forty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 47136 460127 920254 1380381 1840508 2760762 3681016 5521524 7362032 11043048 14724064 22086096 44172192 225922357 451844714 677767071 903689428 1355534142 1807378856 2711068284 3614757712 5422136568 7229515424 10844273136 21688546272