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20008800630 = 23457213219157
BaseRepresentation
bin10010101000100111…
…100001000101110110
31220122110002101110000
4102220213201011312
5311434223110010
613105242012130
71305556666500
oct225047410566
956573071400
1020008800630
1185384a0075
123a64aa7046
131b6b469600
14d7b536d70
157c19087c0
hex4a89e1176

20008800630 has 720 divisors, whose sum is σ = 71791148880. Its totient is φ = 3973971456.

The previous prime is 20008800599. The next prime is 20008800631. The reversal of 20008800630 is 3600880002.

20008800630 is a `hidden beast` number, since 20 + 0 + 0 + 8 + 8 + 0 + 0 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20008800594 and 20008800603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20008800631) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 127444512 + ... + 127444668.

It is an arithmetic number, because the mean of its divisors is an integer number (99709929).

Almost surely, 220008800630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20008800630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35895574440).

20008800630 is an abundant number, since it is smaller than the sum of its proper divisors (51782348250).

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

20008800630 is a wasteful number, since it uses less digits than its factorization.

20008800630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20008800630 in words is "twenty billion, eight million, eight hundred thousand, six hundred thirty".