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20589234480 = 2436517191093
BaseRepresentation
bin10011001011001101…
…101100100100110000
31222010220021111000000
4103023031230210300
5314131321000410
613243014430000
71326135414453
oct231315544460
958126244000
1020589234480
1188060a4671
123ba7362300
131c317a43a9
14dd466949a
1580785ddc0
hex4cb36c930

20589234480 has 560 divisors, whose sum is σ = 80066884320. Its totient is φ = 4891041792.

The previous prime is 20589234473. The next prime is 20589234577. The reversal of 20589234480 is 8443298502.

20589234480 is a `hidden beast` number, since 2 + 0 + 58 + 92 + 34 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18836814 + ... + 18837906.

Almost surely, 220589234480 is an apocalyptic number.

20589234480 is a gapful number since it is divisible by the number (20) 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 20589234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40033442160).

20589234480 is an abundant number, since it is smaller than the sum of its proper divisors (59477649840).

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

20589234480 is a wasteful number, since it uses less digits than its factorization.

20589234480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20589234480 in words is "twenty billion, five hundred eighty-nine million, two hundred thirty-four thousand, four hundred eighty".