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561028152384 = 26327187774131
BaseRepresentation
bin10000010100111111110…
…00100011110001000000
31222122010000110001220200
420022133320203301000
533142441201334014
61105422140205200
755350541420020
oct10123770436100
91878100401820
10561028152384
111a6a26847677
1290893239800
1340b9b8c114b
141d222471a80
15e8d8778a09
hex829fe23c40

561028152384 has 168 divisors, whose sum is σ = 1838816386368. Its totient is φ = 160206197760.

The previous prime is 561028152383. The next prime is 561028152409. The reversal of 561028152384 is 483251820165.

561028152384 is a `hidden beast` number, since 5 + 610 + 2 + 8 + 1 + 5 + 23 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (561028152383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7530999 + ... + 7605129.

Almost surely, 2561028152384 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 561028152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919408193184).

561028152384 is an abundant number, since it is smaller than the sum of its proper divisors (1277788233984).

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

561028152384 is a wasteful number, since it uses less digits than its factorization.

561028152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76033 (or 76020 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

It can be divided in two parts, 5610281 and 52384, that added together give a palindrome (5662665).

The spelling of 561028152384 in words is "five hundred sixty-one billion, twenty-eight million, one hundred fifty-two thousand, three hundred eighty-four".