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537259794432 = 2133294347373
BaseRepresentation
bin1111101000101110010…
…11011110000000000000
31220100202120002101100220
413310113023132000000
532300302001410212
61050451433543040
753546540621544
oct7642713360000
91810676071326
10537259794432
1119793a169539
128815b274a80
133b8815aa60a
141c0098d3a24
15de96c9238c
hex7d172de000

537259794432 has 448 divisors, whose sum is σ = 1552888212480. Its totient is φ = 164853448704.

The previous prime is 537259794397. The next prime is 537259794437. The reversal of 537259794432 is 234497952735.

It is a happy number.

It is a super-2 number, since 2×5372597944322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537259794437) 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 31 ways as a sum of consecutive naturals, for example, 1440374598 + ... + 1440374970.

Almost surely, 2537259794432 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 537259794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776444106240).

537259794432 is an abundant number, since it is smaller than the sum of its proper divisors (1015628418048).

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

537259794432 is a wasteful number, since it uses less digits than its factorization.

537259794432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The spelling of 537259794432 in words is "five hundred thirty-seven billion, two hundred fifty-nine million, seven hundred ninety-four thousand, four hundred thirty-two".