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99382132519488 = 26357213172325657
BaseRepresentation
bin10110100110001100110100…
…101101001011001001000000
3111000212211122200122102100000
4112212030310231023021000
5101011234101411110423
6551211304342200000
726635056614205300
oct2646146455131100
9430784580572300
1099382132519488
11297367a8a14065
12b190b0b123000
13435b905876680
141a78199999600
15b75256023843
hex5a6334b4b240

99382132519488 has 2016 divisors, whose sum is σ = 408897583121664. Its totient is φ = 23595388895232.

The previous prime is 99382132519487. The next prime is 99382132519507. The reversal of 99382132519488 is 88491523128399.

99382132519488 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 2 + 132 + 5 + 1 + 9 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (99382132519487) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3873477156 + ... + 3873502812.

It is an arithmetic number, because the mean of its divisors is an integer number (202826182104).

Almost surely, 299382132519488 is an apocalyptic number.

99382132519488 is a gapful number since it is divisible by the number (98) 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 99382132519488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204448791560832).

99382132519488 is an abundant number, since it is smaller than the sum of its proper divisors (309515450602176).

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

99382132519488 is a wasteful number, since it uses less digits than its factorization.

99382132519488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25751 (or 25722 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 99382132519488 in words is "ninety-nine trillion, three hundred eighty-two billion, one hundred thirty-two million, five hundred nineteen thousand, four hundred eighty-eight".