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630530540640 = 25325711136171101
BaseRepresentation
bin10010010110011101000…
…11001000010001100000
32020021111202110012210200
421023032203020101200
540312311304300030
61201354533425200
763361064110410
oct11131643102140
92207452405720
10630530540640
11223452063670
12a224b49b200
13475c6c0b780
1422736d54640
1511605343d60
hex92ce8c8460

630530540640 has 2304 divisors, whose sum is σ = 3007175528448. Its totient is φ = 116121600000.

The previous prime is 630530540639. The next prime is 630530540641. The reversal of 630530540640 is 46045035036.

630530540640 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 3 + 0 + 5 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (630530540639) and next prime (630530540641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 630530540595 and 630530540604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630530540641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6242876590 + ... + 6242876690.

It is an arithmetic number, because the mean of its divisors is an integer number (1305197712).

Almost surely, 2630530540640 is an apocalyptic number.

630530540640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630530540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503587764224).

630530540640 is an abundant number, since it is smaller than the sum of its proper divisors (2376644987808).

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

630530540640 is a wasteful number, since it uses less digits than its factorization.

630530540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 630530540640 its reverse (46045035036), we get a palindrome (676575575676).

The spelling of 630530540640 in words is "six hundred thirty billion, five hundred thirty million, five hundred forty thousand, six hundred forty".