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96104027335680 = 21034572131312777
BaseRepresentation
bin10101110110011111110110…
…011010010010110000000000
3110121021110021220102000120000
4111312133312122102300000
5100044032021444220210
6540221325231320000
726146200246662100
oct2566376632226000
9417243256360500
1096104027335680
1128692542005601
12a941730380000
13418175632ca10
1419a3661761200
15b19d463c3ac0
hex5767f6692c00

96104027335680 has 2640 divisors, whose sum is σ = 434874084343776. Its totient is φ = 20114862243840.

The previous prime is 96104027335531. The next prime is 96104027335751. The reversal of 96104027335680 is 8653372040169.

96104027335680 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 4 + 0 + 2 + 73 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34607138452 + ... + 34607141228.

It is a 2-persistent number, because it is pandigital, and so is 2⋅96104027335680 = 192208054671360, but 3⋅96104027335680 = 288312082007040 is not.

Almost surely, 296104027335680 is an apocalyptic number.

96104027335680 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 96104027335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217437042171888).

96104027335680 is an abundant number, since it is smaller than the sum of its proper divisors (338770057008096).

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

96104027335680 is a wasteful number, since it uses less digits than its factorization.

96104027335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 96104027335680 in words is "ninety-six trillion, one hundred four billion, twenty-seven million, three hundred thirty-five thousand, six hundred eighty".