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565006500432 = 2432111741593863
BaseRepresentation
bin10000011100011010000…
…00110000001001010000
32000000101021102002110200
420032031000300021100
533224113131003212
61111321014055200
755551250004253
oct10161500601120
92000337362420
10565006500432
111a8688492420
129160364a500
1341383ba154a
141d4bc98b09a
15ea6cb736dc
hex838d030250

565006500432 has 480 divisors, whose sum is σ = 1876325907456. Its totient is φ = 156765388800.

The previous prime is 565006500431. The next prime is 565006500463. The reversal of 565006500432 is 234005600565.

It is a happy number.

565006500432 is a `hidden beast` number, since 56 + 500 + 65 + 0 + 0 + 43 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565006500431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654700033 + ... + 654700895.

Almost surely, 2565006500432 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 565006500432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938162953728).

565006500432 is an abundant number, since it is smaller than the sum of its proper divisors (1311319407024).

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

565006500432 is a wasteful number, since it uses less digits than its factorization.

565006500432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 565006500432 in words is "five hundred sixty-five billion, six million, five hundred thousand, four hundred thirty-two".