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999948768 = 253713293947
BaseRepresentation
bin111011100110100…
…000000111100000
32120200120122211120
4323212200013200
54021441330033
6243120212240
733531265350
oct7346400740
92520518746
10999948768
11473499345
1223aa6a080
1312c21ca80
1496b36b60
155cbc11b3
hex3b9a01e0

999948768 has 192 divisors, whose sum is σ = 3342850560. Its totient is φ = 254564352.

The previous prime is 999948767. The next prime is 999948769. The reversal of 999948768 is 867849999.

It is an interprime number because it is at equal distance from previous prime (999948767) and next prime (999948769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999948767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251371 + ... + 255317.

It is an arithmetic number, because the mean of its divisors is an integer number (17410680).

Almost surely, 2999948768 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 999948768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671425280).

999948768 is an abundant number, since it is smaller than the sum of its proper divisors (2342901792).

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

999948768 is a wasteful number, since it uses less digits than its factorization.

999948768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4001 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 69.

The square root of 999948768 is about 31621.9665422630. The cubic root of 999948768 is about 999.9829223750.

The spelling of 999948768 in words is "nine hundred ninety-nine million, nine hundred forty-eight thousand, seven hundred sixty-eight".