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99095782968 = 23357131783397
BaseRepresentation
bin101110001001010010…
…0011010011000111000
3100110210011012100200000
41130102210122120320
53110422010023333
6113305102313000
710105454154150
oct1342244323070
9313704170600
1099095782968
1139031a934a6
1217256b88760
13946339a790
144b20d27760
15289eb78713
hex171291a638

99095782968 has 768 divisors, whose sum is σ = 367998059520. Its totient is φ = 24240218112.

The previous prime is 99095782949. The next prime is 99095782987. The reversal of 99095782968 is 86928759099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99095782949) and next prime (99095782987).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 99095782896 and 99095782905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249611346 + ... + 249611742.

It is an arithmetic number, because the mean of its divisors is an integer number (479164140).

Almost surely, 299095782968 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 99095782968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183999029760).

99095782968 is an abundant number, since it is smaller than the sum of its proper divisors (268902276552).

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

99095782968 is a wasteful number, since it uses less digits than its factorization.

99095782968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 99095782968 in words is "ninety-nine billion, ninety-five million, seven hundred eighty-two thousand, nine hundred sixty-eight".