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996998688 = 253272314353
BaseRepresentation
bin111011011011001…
…111111000100000
32120111000210002100
4323123033320200
54020212424223
6242533050400
733464230500
oct7333177040
92514023070
10996998688
11471863964
12239a86a00
1312b72906a
14965a9a00
155c7dc043
hex3b6cfe20

996998688 has 432 divisors, whose sum is σ = 3549401856. Its totient is φ = 264176640.

The previous prime is 996998683. The next prime is 996998699. The reversal of 996998688 is 886899699.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (996998683) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 18811270 + ... + 18811322.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2996998688 is an apocalyptic number.

996998688 is a gapful number since it is divisible by the number (98) 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 996998688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774700928).

996998688 is an abundant number, since it is smaller than the sum of its proper divisors (2552403168).

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

996998688 is a wasteful number, since it uses less digits than its factorization.

996998688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 72.

The square root of 996998688 is about 31575.2860319586. The cubic root of 996998688 is about 998.9985601196.

The spelling of 996998688 in words is "nine hundred ninety-six million, nine hundred ninety-eight thousand, six hundred eighty-eight".