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20501703936 = 2835723289
BaseRepresentation
bin10011000101111111…
…110010110100000000
31221220210120110200000
4103011333302310000
5313441414011221
613230210400000
71324023415410
oct230577626400
957823513600
1020501703936
11877074a67a
123b81b90000
131c1960847c
14dc6ba2640
157eed1de26
hex4c5ff2d00

20501703936 has 648 divisors, whose sum is σ = 74059352640. Its totient is φ = 5539995648.

The previous prime is 20501703883. The next prime is 20501704009. The reversal of 20501703936 is 63930710502.

20501703936 is a `hidden beast` number, since 20 + 501 + 70 + 39 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20501703936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230356180 + ... + 230356268.

Almost surely, 220501703936 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 20501703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37029676320).

20501703936 is an abundant number, since it is smaller than the sum of its proper divisors (53557648704).

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

20501703936 is an frugal number, since it uses more digits than its factorization.

20501703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 20501703936 in words is "twenty billion, five hundred one million, seven hundred three thousand, nine hundred thirty-six".