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96236845056 = 21132114710099
BaseRepresentation
bin101100110100000101…
…0011011100000000000
3100012101220121021010200
41121220022123200000
53034043113020211
6112113253325200
76644560454202
oct1315012334000
9305356537120
1096236845056
11378a52100a0
1216799636800
1390c8ca5b41
14492d360772
152783b9ab56
hex166829b800

96236845056 has 288 divisors, whose sum is σ = 309699936000. Its totient is φ = 28539371520.

The previous prime is 96236844997. The next prime is 96236845073. The reversal of 96236845056 is 65054863269.

96236845056 is a `hidden beast` number, since 9 + 623 + 6 + 8 + 4 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 96236844993 and 96236845011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9524295 + ... + 9534393.

It is an arithmetic number, because the mean of its divisors is an integer number (1075347000).

Almost surely, 296236845056 is an apocalyptic number.

96236845056 is a gapful number since it is divisible by the number (96) 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 96236845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154849968000).

96236845056 is an abundant number, since it is smaller than the sum of its proper divisors (213463090944).

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

96236845056 is a wasteful number, since it uses less digits than its factorization.

96236845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 96236845056 in words is "ninety-six billion, two hundred thirty-six million, eight hundred forty-five thousand, fifty-six".