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99033975000 = 233355236379
BaseRepresentation
bin101110000111011100…
…0101000100011011000
3100110121211220012002000
41130032320220203120
53110310144200000
6113255013441000
710104103620042
oct1341670504330
9313554805060
1099033975000
1139000108234
121723a340160
13945363990c
144b16a38a92
15289951a000
hex170ee288d8

99033975000 has 384 divisors, whose sum is σ = 358852032000. Its totient is φ = 25256880000.

The previous prime is 99033974999. The next prime is 99033975011. The reversal of 99033975000 is 57933099.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15521811 + ... + 15528189.

It is an arithmetic number, because the mean of its divisors is an integer number (934510500).

Almost surely, 299033975000 is an apocalyptic number.

99033975000 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 99033975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179426016000).

99033975000 is an abundant number, since it is smaller than the sum of its proper divisors (259818057000).

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

99033975000 is a wasteful number, since it uses less digits than its factorization.

99033975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 45.

The spelling of 99033975000 in words is "ninety-nine billion, thirty-three million, nine hundred seventy-five thousand".