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2157878016 = 28337103433
BaseRepresentation
bin1000000010011110…
…1001101100000000
312120101102120011000
42000213221230000
513404404044031
6554042452000
7104321442360
oct20047515400
95511376130
102157878016
11a0807a768
12502804000
132850a3cc8
141668349a0
15c969b3e6
hex809e9b00

2157878016 has 288 divisors, whose sum is σ = 7380638720. Its totient is φ = 609140736.

The previous prime is 2157878003. The next prime is 2157878059. The reversal of 2157878016 is 6108787512.

It is a happy number.

2157878016 is a `hidden beast` number, since 2 + 1 + 578 + 78 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983336 + ... + 4983768.

Almost surely, 22157878016 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 2157878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690319360).

2157878016 is an abundant number, since it is smaller than the sum of its proper divisors (5222760704).

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

2157878016 is a wasteful number, since it uses less digits than its factorization.

2157878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 2157878016 is about 46452.9656319163. The cubic root of 2157878016 is about 1292.2373719978.

The spelling of 2157878016 in words is "two billion, one hundred fifty-seven million, eight hundred seventy-eight thousand, sixteen".