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99130182939648 = 2103472172372281
BaseRepresentation
bin10110100010100010001011…
…010101110011010000000000
3110222222202022220001122110000
4112202202023111303100000
5100443122103313032043
6550455435524240000
726610630226131300
oct2642421325632000
9428882286048400
1099130182939648
1129649968a50703
12b150115840000
134340c22914b53
141a69cd8295600
15b6d90bea62d3
hex5a288b573400

99130182939648 has 1980 divisors, whose sum is σ = 375850974684108. Its totient is φ = 25925029724160.

The previous prime is 99130182939583. The next prime is 99130182939649. The reversal of 99130182939648 is 84693928103199.

99130182939648 is a `hidden beast` number, since 9 + 9 + 13 + 0 + 182 + 9 + 396 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29234697375744 + 69895485563904 = 5406912^2 + 8360352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99130182939649) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 43459088268 + ... + 43459090548.

Almost surely, 299130182939648 is an apocalyptic number.

99130182939648 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 99130182939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187925487342054).

99130182939648 is an abundant number, since it is smaller than the sum of its proper divisors (276720791744460).

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

99130182939648 is a wasteful number, since it uses less digits than its factorization.

99130182939648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 99130182939648 in words is "ninety-nine trillion, one hundred thirty billion, one hundred eighty-two million, nine hundred thirty-nine thousand, six hundred forty-eight".