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96822270144 = 26323741110807
BaseRepresentation
bin101101000101100001…
…1101001100011000000
3100020220201011221101100
41122023003221203000
53041243000121034
6112251325134400
76665226500655
oct1321303514300
9306821157340
1096822270144
1138075713686
12169216ba400
13919036a712
144986dd1c2c
1527ba28a099
hex168b0e98c0

96822270144 has 168 divisors, whose sum is σ = 291978636768. Its totient is φ = 30635642880.

The previous prime is 96822270131. The next prime is 96822270151. The reversal of 96822270144 is 44107222869.

It is a self number, because there is not a number n which added to its sum of digits gives 96822270144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818389 + ... + 929195.

It is an arithmetic number, because the mean of its divisors is an integer number (1737968076).

Almost surely, 296822270144 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 96822270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145989318384).

96822270144 is an abundant number, since it is smaller than the sum of its proper divisors (195156366624).

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

96822270144 is a wasteful number, since it uses less digits than its factorization.

96822270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110903 (or 110890 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 96822270144 in words is "ninety-six billion, eight hundred twenty-two million, two hundred seventy thousand, one hundred forty-four".