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99974041447104 = 26321137479073451
BaseRepresentation
bin10110101110110100000101…
…001110100010101011000000
3111002222102110211201102002200
4112232310011032202223000
5101100433314102301404
6552343235100513200
730025612642113066
oct2656640516425300
9432872424642080
1099974041447104
1129944831096180
12b26778024b800
1343a2686154986
141a98aab42a036
15b8584a8a6839
hex5aed053a2ac0

99974041447104 has 336 divisors, whose sum is σ = 327888133387776. Its totient is φ = 28849215744000.

The previous prime is 99974041447103. The next prime is 99974041447117. The reversal of 99974041447104 is 40174414047999.

99974041447104 is a `hidden beast` number, since 9 + 9 + 9 + 7 + 40 + 41 + 447 + 104 = 666.

99974041447104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (99974041447103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6481579 + ... + 15555029.

Almost surely, 299974041447104 is an apocalyptic number.

99974041447104 is a gapful number since it is divisible by the number (94) 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 99974041447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163944066693888).

99974041447104 is an abundant number, since it is smaller than the sum of its proper divisors (227914091940672).

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

99974041447104 is a wasteful number, since it uses less digits than its factorization.

99974041447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9073564 (or 9073551 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 99974041447104 in words is "ninety-nine trillion, nine hundred seventy-four billion, forty-one million, four hundred forty-seven thousand, one hundred four".