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96532511332320 = 25325727971716551
BaseRepresentation
bin10101111100101110111010…
…000011000001011111100000
3110122210102021200122100021100
4111330232322003001133200
5100123042040400113240
6541150231250354400
726222146422602100
oct2574567203013740
9418712250570240
1096532511332320
1128838232060198
12a9b079288ba00
1341b2c90c2992b
1419ba2ac8a1200
15b26073789e30
hex57cbba0c17e0

96532511332320 has 432 divisors, whose sum is σ = 383680620112608. Its totient is φ = 22036876646400.

The previous prime is 96532511332297. The next prime is 96532511332321. The reversal of 96532511332320 is 2323311523569.

96532511332320 is a `hidden beast` number, since 9 + 6 + 53 + 251 + 1 + 3 + 323 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96532511332321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55378045 + ... + 57094595.

It is an arithmetic number, because the mean of its divisors is an integer number (888149583594).

Almost surely, 296532511332320 is an apocalyptic number.

96532511332320 is a gapful number since it is divisible by the number (90) 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 96532511332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191840310056304).

96532511332320 is an abundant number, since it is smaller than the sum of its proper divisors (287148108780288).

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

96532511332320 is a wasteful number, since it uses less digits than its factorization.

96532511332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717383 (or 1717365 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

Adding to 96532511332320 its reverse (2323311523569), we get a palindrome (98855822855889).

The spelling of 96532511332320 in words is "ninety-six trillion, five hundred thirty-two billion, five hundred eleven million, three hundred thirty-two thousand, three hundred twenty".