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96880108896 = 25325971131613
BaseRepresentation
bin101101000111010000…
…0010010010101100000
3100021001202000110020100
41122032200102111200
53041402301441041
6112301152542400
76666531224034
oct1321640222540
9307052013210
1096880108896
11380a53287aa
1216938b51a00
13919c33ba2c
14499096a1c4
1527c03b26b6
hex168e812560

96880108896 has 288 divisors, whose sum is σ = 286754307840. Its totient is φ = 31009305600.

The previous prime is 96880108889. The next prime is 96880108901. The reversal of 96880108896 is 69880108869.

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

96880108896 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158042286 + ... + 158042898.

It is an arithmetic number, because the mean of its divisors is an integer number (995674680).

Almost surely, 296880108896 is an apocalyptic number.

96880108896 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 96880108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377153920).

96880108896 is an abundant number, since it is smaller than the sum of its proper divisors (189874198944).

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

96880108896 is a wasteful number, since it uses less digits than its factorization.

96880108896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 96880108896 in words is "ninety-six billion, eight hundred eighty million, one hundred eight thousand, eight hundred ninety-six".