Search a number
-
+
490242466944 = 2732425557697
BaseRepresentation
bin1110010001001001011…
…10100110010010000000
31201212101211200200020100
413020210232212102000
531013004032420234
61013114141242400
750263444133166
oct7104456462200
91655354620210
10490242466944
11179a0210149a
127b019263400
13372ca766289
1419a29379236
15cb441bc399
hex7224ba6480

490242466944 has 48 divisors (see below), whose sum is σ = 1410723768870. Its totient is φ = 163414155264.

The previous prime is 490242466939. The next prime is 490242466949. The reversal of 490242466944 is 449664242094.

490242466944 is a `hidden beast` number, since 4 + 90 + 2 + 4 + 2 + 466 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (490242466939) and next prime (490242466949).

It can be written as a sum of positive squares in only one way, i.e., 453036686400 + 37205780544 = 673080^2 + 192888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (490242466949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 212777697 + ... + 212780000.

Almost surely, 2490242466944 is an apocalyptic number.

It is an amenable number.

490242466944 is an abundant number, since it is smaller than the sum of its proper divisors (920481301926).

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

490242466944 is a wasteful number, since it uses less digits than its factorization.

490242466944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425557717 (or 425557702 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 490242466944 in words is "four hundred ninety billion, two hundred forty-two million, four hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 425557697 851115394 1276673091 1702230788 2553346182 3404461576 3830019273 5106692364 6808923152 7660038546 10213384728 13617846304 15320077092 20426769456 27235692608 30640154184 40853538912 54471385216 61280308368 81707077824 122560616736 163414155648 245121233472 490242466944