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630573076980 = 223257111717914951
BaseRepresentation
bin10010010110100010001…
…01011001000111110100
32020021121201111021200200
421023101011121013310
540312403201430410
61201403053240500
763362121501150
oct11132105310764
92207551437620
10630573076980
11223474076870
12a2261793130
13476029828c2
142273c868060
1511608e473c0
hex92d11591f4

630573076980 has 576 divisors, whose sum is σ = 2539265863680. Its totient is φ = 122623488000.

The previous prime is 630573076937. The next prime is 630573076981. The reversal of 630573076980 is 89670375036.

630573076980 is a `hidden beast` number, since 6 + 3 + 0 + 573 + 0 + 7 + 69 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630573076981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42168505 + ... + 42183455.

It is an arithmetic number, because the mean of its divisors is an integer number (4408447680).

Almost surely, 2630573076980 is an apocalyptic number.

630573076980 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 630573076980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269632931840).

630573076980 is an abundant number, since it is smaller than the sum of its proper divisors (1908692786700).

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

630573076980 is a wasteful number, since it uses less digits than its factorization.

630573076980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15180 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 630573076980 in words is "six hundred thirty billion, five hundred seventy-three million, seventy-six thousand, nine hundred eighty".