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532920692040 = 233511271599863
BaseRepresentation
bin1111100000101001000…
…11000110110101001000
31212221120011022010212220
413300110203012311020
532212410144121130
61044453111534040
753334162066342
oct7602443066510
91787504263786
10532920692040
11196012923700
128734a08a320
133b33c649cc9
141bb1750c292
15dce0d87410
hex7c148c6d48

532920692040 has 384 divisors, whose sum is σ = 1787111424000. Its totient is φ = 127013286400.

The previous prime is 532920692011. The next prime is 532920692093. The reversal of 532920692040 is 40296029235.

It is a junction number, because it is equal to n+sod(n) for n = 532920691983 and 532920692001.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 617520649 + ... + 617521511.

It is an arithmetic number, because the mean of its divisors is an integer number (4653936000).

Almost surely, 2532920692040 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 532920692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893555712000).

532920692040 is an abundant number, since it is smaller than the sum of its proper divisors (1254190731960).

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

532920692040 is a wasteful number, since it uses less digits than its factorization.

532920692040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 532920692040 in words is "five hundred thirty-two billion, nine hundred twenty million, six hundred ninety-two thousand, forty".