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96096096096 = 253711131019901
BaseRepresentation
bin101100101111111000…
…1100000111101100000
3100012001002202110212020
41121133301200331200
53033301100033341
6112051304501440
76641231224320
oct1313761407540
9305032673766
1096096096096
1137832817340
121675a47a880
1390a5a95930
1449187a3280
152776647566
hex165fc60f60

96096096096 has 384 divisors, whose sum is σ = 342076234752. Its totient is φ = 22809600000.

The previous prime is 96096096071. The next prime is 96096096137. The reversal of 96096096096 is 69069069069.

96096096096 is a strobogrammatic number because it is the same when read upside-down.

96096096096 is a modest number, since divided by 96096096 gives 96 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9700746 + ... + 9710646.

It is an arithmetic number, because the mean of its divisors is an integer number (890823528).

Almost surely, 296096096096 is an apocalyptic number.

96096096096 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 96096096096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171038117376).

96096096096 is an abundant number, since it is smaller than the sum of its proper divisors (245980138656).

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

96096096096 is a wasteful number, since it uses less digits than its factorization.

96096096096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10038 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 60.

The spelling of 96096096096 in words is "ninety-six billion, ninety-six million, ninety-six thousand, ninety-six".