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20550465936 = 24347211133173
BaseRepresentation
bin10011001000111001…
…110011100110010000
31222001012022211120000
4103020321303212100
5314041404402221
613235111450000
71325155035600
oct231071634620
958035284500
1020550465936
118796225250
123b96386900
131c2674c220
14dcd456c00
15804251e26
hex4c8e73990

20550465936 has 1200 divisors, whose sum is σ = 85057555968. Its totient is φ = 4702924800.

The previous prime is 20550465917. The next prime is 20550465977. The reversal of 20550465936 is 63956405502.

20550465936 is a `hidden beast` number, since 2 + 0 + 5 + 50 + 4 + 6 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20550465891 and 20550465900.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 281513196 + ... + 281513268.

Almost surely, 220550465936 is an apocalyptic number.

20550465936 is a gapful number since it is divisible by the number (26) 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 20550465936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42528777984).

20550465936 is an abundant number, since it is smaller than the sum of its proper divisors (64507090032).

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

20550465936 is a wasteful number, since it uses less digits than its factorization.

20550465936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 20550465936 in words is "twenty billion, five hundred fifty million, four hundred sixty-five thousand, nine hundred thirty-six".