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532026145728 = 26337111312233
BaseRepresentation
bin1111011110111110011…
…10101011101111000000
31212212020211001111001000
413233133032223233000
532204042143130403
61044224234412000
753303050423530
oct7573716535700
91785224044030
10532026145728
111956a3986830
128713a591000
133b229212a6c
141ba707b14c0
15dc8c5867a3
hex7bdf3abbc0

532026145728 has 672 divisors, whose sum is σ = 1973427356160. Its totient is φ = 136545177600.

The previous prime is 532026145711. The next prime is 532026145771. The reversal of 532026145728 is 827541620235.

532026145728 is a `hidden beast` number, since 5 + 3 + 2 + 0 + 2 + 614 + 5 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2283373900 + ... + 2283374132.

Almost surely, 2532026145728 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 532026145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986713678080).

532026145728 is an abundant number, since it is smaller than the sum of its proper divisors (1441401210432).

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

532026145728 is a wasteful number, since it uses less digits than its factorization.

532026145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 532026145728 in words is "five hundred thirty-two billion, twenty-six million, one hundred forty-five thousand, seven hundred twenty-eight".