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993108216 = 23351138093
BaseRepresentation
bin111011001100011…
…010000011111000
32120012201010100210
4323030122003320
54013213430331
6242313431120
733416165142
oct7314320370
92505633323
10993108216
1146a6469a1
1223870b4a0
1312a9962c9
1495c75c92
155c2be446
hex3b31a0f8

993108216 has 32 divisors (see below), whose sum is σ = 2483562960. Its totient is φ = 330930432.

The previous prime is 993108209. The next prime is 993108241. The reversal of 993108216 is 612801399.

993108216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118666 + ... + 126758.

Almost surely, 2993108216 is an apocalyptic number.

It is an amenable number.

993108216 is an abundant number, since it is smaller than the sum of its proper divisors (1490454744).

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

993108216 is a wasteful number, since it uses less digits than its factorization.

993108216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13215 (or 13211 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 993108216 is about 31513.6195318786. The cubic root of 993108216 is about 997.6974409577.

The spelling of 993108216 in words is "nine hundred ninety-three million, one hundred eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 5113 8093 10226 15339 16186 20452 24279 30678 32372 40904 48558 61356 64744 97116 122712 194232 41379509 82759018 124138527 165518036 248277054 331036072 496554108 993108216