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532426105952 = 251343534311303
BaseRepresentation
bin1111011111101110001…
…00011010010001100000
31212220021200122120022122
413233313010122101200
532210402040342302
61044332043123412
753316005141366
oct7576704322140
91786250576278
10532426105952
11195889724874
1287230513568
133b29103c210
141baab965636
15dcb273d3a2
hex7bf711a460

532426105952 has 192 divisors, whose sum is σ = 1180528183296. Its totient is φ = 234764974080.

The previous prime is 532426105943. The next prime is 532426105997. The reversal of 532426105952 is 259501624235.

It is a happy number.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408614933 + ... + 408616235.

It is an arithmetic number, because the mean of its divisors is an integer number (6148584288).

Almost surely, 2532426105952 is an apocalyptic number.

532426105952 is a gapful number since it is divisible by the number (52) 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 532426105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590264091648).

532426105952 is an abundant number, since it is smaller than the sum of its proper divisors (648102077344).

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

532426105952 is a wasteful number, since it uses less digits than its factorization.

532426105952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 532426105952 in words is "five hundred thirty-two billion, four hundred twenty-six million, one hundred five thousand, nine hundred fifty-two".