Search a number
-
+
2443202064 = 2432145311677
BaseRepresentation
bin1001000110100000…
…0100111000010000
320022021022112011100
42101220010320100
520000424431224
61042234144400
7114354606042
oct22150047020
96267275140
102443202064
11104413a966
12582282100
132cc233ac4
141926a7a92
15e475bac9
hex91a04e10

2443202064 has 60 divisors (see below), whose sum is σ = 6842864236. Its totient is φ = 813770496.

The previous prime is 2443202057. The next prime is 2443202131. The reversal of 2443202064 is 4602023442.

2443202064 is a `hidden beast` number, since 24 + 432 + 0 + 206 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2263856400 + 179345664 = 47580^2 + 13392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203394 + ... + 215070.

Almost surely, 22443202064 is an apocalyptic number.

2443202064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2443202064 is an abundant number, since it is smaller than the sum of its proper divisors (4399662172).

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

2443202064 is a wasteful number, since it uses less digits than its factorization.

2443202064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2443202064 is about 49428.7574596004. The cubic root of 2443202064 is about 1346.8517519465.

The spelling of 2443202064 in words is "two billion, four hundred forty-three million, two hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1453 2906 4359 5812 8718 11624 11677 13077 17436 23248 23354 26154 34872 35031 46708 52308 69744 70062 93416 104616 105093 140124 186832 209232 210186 280248 420372 560496 840744 1681488 16966681 33933362 50900043 67866724 101800086 135733448 152700129 203600172 271466896 305400258 407200344 610800516 814400688 1221601032 2443202064