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99800064 = 21032721317
BaseRepresentation
bin1011111001011…
…01010000000000
320221210100221200
411330231100000
5201022100224
613523021200
72321200200
oct574552000
9227710850
1099800064
11513752a1
122950a800
13178a37c0
14d37c400
158b655c9
hex5f2d400

99800064 has 396 divisors, whose sum is σ = 382240404. Its totient is φ = 24772608.

The previous prime is 99800023. The next prime is 99800069. The reversal of 99800064 is 46000899.

It can be written as a sum of positive squares in 2 ways, for example, as 45158400 + 54641664 = 6720^2 + 7392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99800069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870584 + ... + 5870600.

Almost surely, 299800064 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 99800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191120202).

99800064 is an abundant number, since it is smaller than the sum of its proper divisors (282440340).

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

99800064 is a wasteful number, since it uses less digits than its factorization.

99800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99800064 is about 9989.9981981980. The cubic root of 99800064 is about 463.8493367361.

Adding to 99800064 its sum of digits (36), we get a square (99800100 = 99902).

The spelling of 99800064 in words is "ninety-nine million, eight hundred thousand, sixty-four".