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20790097632 = 253441832357
BaseRepresentation
bin10011010111001011…
…111011011011100000
31222122220020101110000
4103113023323123200
5320034231111012
613314551540000
71334124625353
oct232713733340
958586211400
1020790097632
1188a9517077
12404268a600
131c642a1525
1410131d429a
1581a2d8ddc
hex4d72fb6e0

20790097632 has 240 divisors, whose sum is σ = 63415919952. Its totient is φ = 6676715520.

The previous prime is 20790097621. The next prime is 20790097637. The reversal of 20790097632 is 23679009702.

It is a happy number.

20790097632 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 0 + 0 + 9 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20790097637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8819398 + ... + 8821754.

Almost surely, 220790097632 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 20790097632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707959976).

20790097632 is an abundant number, since it is smaller than the sum of its proper divisors (42625822320).

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

20790097632 is a wasteful number, since it uses less digits than its factorization.

20790097632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 20790097632 in words is "twenty billion, seven hundred ninety million, ninety-seven thousand, six hundred thirty-two".