Search a number
-
+
4452741864 = 2332174218641
BaseRepresentation
bin1000010010110011…
…10111001011101000
3102111022121201112100
410021121313023220
533104400214424
62013501413400
7215225452464
oct41131671350
912438551470
104452741864
11198550295a
12a4326a260
1355c66b3cc
143035274a4
151b0da5dc9
hex1096772e8

4452741864 has 96 divisors (see below), whose sum is σ = 12800703240. Its totient is φ = 1393459200.

The previous prime is 4452741857. The next prime is 4452741869. The reversal of 4452741864 is 4681472544.

4452741864 is a `hidden beast` number, since 4 + 4 + 527 + 41 + 86 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1668068964 + 2784672900 = 40842^2 + 52770^2 .

It is not an unprimeable number, because it can be changed into a prime (4452741869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510984 + ... + 519624.

Almost surely, 24452741864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4452741864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400351620).

4452741864 is an abundant number, since it is smaller than the sum of its proper divisors (8347961376).

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

4452741864 is a wasteful number, since it uses less digits than its factorization.

4452741864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9084 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 4452741864 is about 66728.8682955136. The cubic root of 4452741864 is about 1645.1639066423.

The spelling of 4452741864 in words is "four billion, four hundred fifty-two million, seven hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 421 612 842 1224 1263 1684 2526 3368 3789 5052 7157 7578 8641 10104 14314 15156 17282 21471 25923 28628 30312 34564 42942 51846 57256 64413 69128 77769 85884 103692 128826 146897 155538 171768 207384 257652 293794 311076 440691 515304 587588 622152 881382 1175176 1322073 1762764 2644146 3525528 3637861 5288292 7275722 10576584 10913583 14551444 21827166 29102888 32740749 43654332 61843637 65481498 87308664 123687274 130962996 185530911 247374548 261925992 371061822 494749096 556592733 742123644 1113185466 1484247288 2226370932 4452741864