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20589412464 = 243347660677
BaseRepresentation
bin10011001011001110…
…011000000001110000
31222010220121112011000
4103023032120001300
5314131342144324
613243022322000
71326140055405
oct231316300160
958126545130
1020589412464
118806206365
123ba7429300
131c318373ca
14dd46b42ac
158078969c9
hex4cb398070

20589412464 has 40 divisors (see below), whose sum is σ = 59099240720. Its totient is φ = 6863137344.

The previous prime is 20589412463. The next prime is 20589412471. The reversal of 20589412464 is 46421498502.

It is a happy number.

20589412464 is a `hidden beast` number, since 2 + 0 + 589 + 4 + 1 + 2 + 4 + 64 = 666.

It is a super-2 number, since 2×205894124642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20589412463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23829907 + ... + 23830770.

It is an arithmetic number, because the mean of its divisors is an integer number (1477481018).

Almost surely, 220589412464 is an apocalyptic number.

20589412464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20589412464 is an abundant number, since it is smaller than the sum of its proper divisors (38509828256).

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

20589412464 is a wasteful number, since it uses less digits than its factorization.

20589412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47660694 (or 47660682 counting only the distinct ones).

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

The spelling of 20589412464 in words is "twenty billion, five hundred eighty-nine million, four hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 47660677 95321354 142982031 190642708 285964062 381285416 428946093 571928124 762570832 857892186 1143856248 1286838279 1715784372 2287712496 2573676558 3431568744 5147353116 6863137488 10294706232 20589412464