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96228698112 = 211333173769
BaseRepresentation
bin101100110011110101…
…1010110100000000000
3100012101100021100122000
41121213223112200000
53034034021314422
6112112402544000
76644431303161
oct1314753264000
9305340240560
1096228698112
11378a0656188
1216796968000
1390c73b2871
14492c23d768
1527830dbcac
hex1667ad6800

96228698112 has 384 divisors, whose sum is σ = 298666368000. Its totient is φ = 30576476160.

The previous prime is 96228698063. The next prime is 96228698129. The reversal of 96228698112 is 21189682269.

It is a happy number.

96228698112 is a `hidden beast` number, since 9 + 622 + 8 + 6 + 9 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125134464 + ... + 125135232.

It is an arithmetic number, because the mean of its divisors is an integer number (777777000).

Almost surely, 296228698112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96228698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149333184000).

96228698112 is an abundant number, since it is smaller than the sum of its proper divisors (202437669888).

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

96228698112 is a wasteful number, since it uses less digits than its factorization.

96228698112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 96228698112 in words is "ninety-six billion, two hundred twenty-eight million, six hundred ninety-eight thousand, one hundred twelve".