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990099936 = 25347197277
BaseRepresentation
bin111011000000111…
…011100111100000
32120000001021210000
4323000323213200
54011431144221
6242125140000
733351465510
oct7300734740
92500037700
10990099936
11468981811
122376ba600
1312a181c67
14956d1840
155bdc7e26
hex3b03b9e0

990099936 has 240 divisors, whose sum is σ = 3356803296. Its totient is φ = 280433664.

The previous prime is 990099923. The next prime is 990099973. The reversal of 990099936 is 639990099.

990099936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3574230 + ... + 3574506.

Almost surely, 2990099936 is an apocalyptic number.

990099936 is a gapful number since it is divisible by the number (96) 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 990099936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678401648).

990099936 is an abundant number, since it is smaller than the sum of its proper divisors (2366703360).

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

990099936 is a wasteful number, since it uses less digits than its factorization.

990099936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The square root of 990099936 is about 31465.8534923177. The cubic root of 990099936 is about 996.6890282315.

The spelling of 990099936 in words is "nine hundred ninety million, ninety-nine thousand, nine hundred thirty-six".