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2163034368 = 28351129109
BaseRepresentation
bin1000000011101101…
…0100100100000000
312120202010112100000
42000323110210000
513412214044433
6554345200000
7104413326435
oct20073244400
95522115300
102163034368
11a0aa81810
12504490000
1328618acc1
141673b7b8c
15c9d69113
hex80ed4900

2163034368 has 432 divisors, whose sum is σ = 7365758400. Its totient is φ = 627056640.

The previous prime is 2163034351. The next prime is 2163034387. The reversal of 2163034368 is 8634303612.

2163034368 is a `hidden beast` number, since 216 + 3 + 0 + 3 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19844298 + ... + 19844406.

Almost surely, 22163034368 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 2163034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682879200).

2163034368 is an abundant number, since it is smaller than the sum of its proper divisors (5202724032).

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

2163034368 is a wasteful number, since it uses less digits than its factorization.

2163034368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2163034368 is about 46508.4332997791. The cubic root of 2163034368 is about 1293.2658407642.

The spelling of 2163034368 in words is "two billion, one hundred sixty-three million, thirty-four thousand, three hundred sixty-eight".