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630242298504 = 2333713592232437
BaseRepresentation
bin10010010101111010101…
…11100100101010001000
32020020202200001222221000
421022331113210222020
540311214012023004
61201310155415000
763350664101340
oct11127527445210
92206680058830
10630242298504
11223314390025
12a218aa54460
134757c2996b0
142270a961d20
15115d9da8c39
hex92bd5e4a88

630242298504 has 512 divisors, whose sum is σ = 2201923584000. Its totient is φ = 162601012224.

The previous prime is 630242298503. The next prime is 630242298527. The reversal of 630242298504 is 405892242036.

630242298504 is a `hidden beast` number, since 6 + 30 + 2 + 4 + 22 + 98 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 630242298504.

It is not an unprimeable number, because it can be changed into a prime (630242298503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258612774 + ... + 258615210.

It is an arithmetic number, because the mean of its divisors is an integer number (4300632000).

Almost surely, 2630242298504 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 630242298504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100961792000).

630242298504 is an abundant number, since it is smaller than the sum of its proper divisors (1571681285496).

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

630242298504 is a wasteful number, since it uses less digits than its factorization.

630242298504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 630242298504 in words is "six hundred thirty billion, two hundred forty-two million, two hundred ninety-eight thousand, five hundred four".