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96779819485440 = 28355713219109127
BaseRepresentation
bin10110000000010101001110…
…110000110000100100000000
3110200200001122000120012200000
4112000111032300300210000
5100141120032242013230
6541500011342400000
726246053101323550
oct2600251660604400
9420601560505600
1096779819485440
1128923100066aa3
12aa306b1890000
1342003b43c8100
1419c824d9a3160
15b2c6ea0ceb60
hex58054ec30900

96779819485440 has 5184 divisors, whose sum is σ = 460094732697600. Its totient is φ = 19016370487296.

The previous prime is 96779819485429. The next prime is 96779819485441. The reversal of 96779819485440 is 4458491897769.

96779819485440 is a `hidden beast` number, since 9 + 6 + 7 + 7 + 9 + 8 + 1 + 94 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 96779819485440.

It is not an unprimeable number, because it can be changed into a prime (96779819485441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 762045822657 + ... + 762045822783.

Almost surely, 296779819485440 is an apocalyptic number.

96779819485440 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 96779819485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230047366348800).

96779819485440 is an abundant number, since it is smaller than the sum of its proper divisors (363314913212160).

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

96779819485440 is a wasteful number, since it uses less digits than its factorization.

96779819485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 81.

The spelling of 96779819485440 in words is "ninety-six trillion, seven hundred seventy-nine billion, eight hundred nineteen million, four hundred eighty-five thousand, four hundred forty".