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96784337880 = 2332519831511129
BaseRepresentation
bin101101000100011001…
…0111100101111011000
3100020211001210210002200
41122020302330233120
53041203242303010
6112243452130200
76664256204166
oct1321062745730
9306731723080
1096784337880
11380562655aa
1216910a66960
1391855490a9
144981d5a236
1527b6c95cc0
hex1688cbcbd8

96784337880 has 384 divisors, whose sum is σ = 337611456000. Its totient is φ = 23974963200.

The previous prime is 96784337821. The next prime is 96784337917. The reversal of 96784337880 is 8873348769.

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 95 ways as a sum of consecutive naturals, for example, 85725156 + ... + 85726284.

It is an arithmetic number, because the mean of its divisors is an integer number (879196500).

Almost surely, 296784337880 is an apocalyptic number.

96784337880 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 96784337880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168805728000).

96784337880 is an abundant number, since it is smaller than the sum of its proper divisors (240827118120).

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

96784337880 is a wasteful number, since it uses less digits than its factorization.

96784337880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 96784337880 in words is "ninety-six billion, seven hundred eighty-four million, three hundred thirty-seven thousand, eight hundred eighty".