Search a number
-
+
21949487360784 = 24323904192
BaseRepresentation
bin1001111110110100000110…
…11001011010101100010000
32212201100110111212102012100
410333122003121122230100
510334110022231021114
6114403242202000400
74423540521126144
oct477320331325420
985640414772170
1021949487360784
116aa27a84363a5
122565b5aaa6100
13c32a9b819379
1455c50a295224
15280e534aa909
hex13f68365ab10

21949487360784 has 45 divisors (see below), whose sum is σ = 61428236550343. Its totient is φ = 7316477046816.

The previous prime is 21949487360693. The next prime is 21949487360809. The reversal of 21949487360784 is 48706378494912.

The square root of 21949487360784 is 4685028.

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

21949487360784 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 9 + 4 + 8 + 7 + 3 + 607 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56025127 + ... + 56415545.

Almost surely, 221949487360784 is an apocalyptic number.

21949487360784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21949487360784 is the 4685028-th square number.

It is an amenable number.

21949487360784 is an abundant number, since it is smaller than the sum of its proper divisors (39478749189559).

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

21949487360784 is an frugal number, since it uses more digits than its factorization.

21949487360784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780852 (or 390424 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 21949487360784 in words is "twenty-one trillion, nine hundred forty-nine billion, four hundred eighty-seven million, three hundred sixty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 390419 780838 1171257 1561676 2342514 3123352 3513771 4685028 6246704 7027542 9370056 14055084 18740112 28110168 56220336 152426995561 304853991122 457280986683 609707982244 914561973366 1219415964488 1371842960049 1829123946732 2438831928976 2743685920098 3658247893464 5487371840196 7316495786928 10974743680392 21949487360784