Search a number
-
+
21272805904 = 247252092
BaseRepresentation
bin10011110011111101…
…010100001000010000
32000220112112111201011
4103303331110020100
5322031314242104
613434514020304
71352105603200
oct236375241020
960815474634
1021272805904
119026a42a29
124158277694
1320102b0b1c
14105b368400
15847888904
hex4f3f54210

21272805904 has 45 divisors (see below), whose sum is σ = 47954420397. Its totient is φ = 9115166592.

The previous prime is 21272805893. The next prime is 21272805907. The reversal of 21272805904 is 40950827212.

The square root of 21272805904 is 145852.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20866380304 + 406425600 = 144452^2 + 20160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21272805907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4081252 + ... + 4086460.

Almost surely, 221272805904 is an apocalyptic number.

21272805904 is the 145852-nd square number.

It is an amenable number.

21272805904 is an abundant number, since it is smaller than the sum of its proper divisors (26681614493).

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

21272805904 is an frugal number, since it uses more digits than its factorization.

21272805904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 21272805904 in words is "twenty-one billion, two hundred seventy-two million, eight hundred five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5209 10418 20836 36463 41672 72926 83344 145852 255241 291704 510482 583408 1020964 2041928 4083856 27133681 54267362 108534724 189935767 217069448 379871534 434138896 759743068 1329550369 1519486136 2659100738 3038972272 5318201476 10636402952 21272805904