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998815104 = 27337194153
BaseRepresentation
bin111011100010001…
…011010110000000
32120121110001202000
4323202023112000
54021144040404
6243040024000
733515534250
oct7342132600
92517401660
10998815104
11472894631
1223a602000
1312bc13a71
149691d960
155ca4a339
hex3b88b580

998815104 has 512 divisors, whose sum is σ = 3701376000. Its totient is φ = 258785280.

The previous prime is 998815099. The next prime is 998815117. The reversal of 998815104 is 401518899.

It is a super-2 number, since 2×9988151042 = 1995263223957061632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 998815104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18845542 + ... + 18845594.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2998815104 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 998815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

998815104 is an abundant number, since it is smaller than the sum of its proper divisors (2702560896).

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

998815104 is a wasteful number, since it uses less digits than its factorization.

998815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 998815104 is about 31604.0361979289. The cubic root of 998815104 is about 999.6048785663.

The spelling of 998815104 in words is "nine hundred ninety-eight million, eight hundred fifteen thousand, one hundred four".