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99288368352 = 253317231101127
BaseRepresentation
bin101110001111000001…
…1000100010011100000
3100111021120120201011000
41130132003010103200
53111320310241402
6113340142152000
710113313130445
oct1343603042340
9314246521130
1099288368352
1139120771778
12172ab582600
139494259c24
144b3c7399cc
1528b1a1ac1c
hex171e0c44e0

99288368352 has 576 divisors, whose sum is σ = 323220602880. Its totient is φ = 29611008000.

The previous prime is 99288368341. The next prime is 99288368393. The reversal of 99288368352 is 25386388299.

It is a self number, because there is not a number n which added to its sum of digits gives 99288368352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781798113 + ... + 781798239.

It is an arithmetic number, because the mean of its divisors is an integer number (561146880).

Almost surely, 299288368352 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 99288368352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161610301440).

99288368352 is an abundant number, since it is smaller than the sum of its proper divisors (223932234528).

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

99288368352 is a wasteful number, since it uses less digits than its factorization.

99288368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 99288368352 in words is "ninety-nine billion, two hundred eighty-eight million, three hundred sixty-eight thousand, three hundred fifty-two".