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999952128 = 28347832
BaseRepresentation
bin111011100110100…
…000111100000000
32120200120211110000
4323212200330000
54021441432003
6243120240000
733531311220
oct7346407400
92520524400
10999952128
114734a091a
1223aa70000
1312c221466
1496b38080
155cbc21a3
hex3b9a0f00

999952128 has 270 divisors, whose sum is σ = 3449180504. Its totient is φ = 282258432.

The previous prime is 999952127. The next prime is 999952133. The reversal of 999952128 is 821259999.

999952128 is a `hidden beast` number, since 9 + 9 + 99 + 521 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999952127) 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 29 ways as a sum of consecutive naturals, for example, 12047575 + ... + 12047657.

Almost surely, 2999952128 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 999952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724590252).

999952128 is an abundant number, since it is smaller than the sum of its proper divisors (2449228376).

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

999952128 is an frugal number, since it uses more digits than its factorization.

999952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 95 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 999952128 is about 31622.0196698440. The cubic root of 999952128 is about 999.9840424120.

The spelling of 999952128 in words is "nine hundred ninety-nine million, nine hundred fifty-two thousand, one hundred twenty-eight".