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2913048576 = 21133139379
BaseRepresentation
bin1010110110100001…
…1001100000000000
321112000102012102000
42231220121200000
521431220023301
61201020424000
7132121334664
oct25550314000
97460365360
102913048576
111265381569
126936a8000
1337568c0a9
141d8c508a4
15120b1a786
hexada19800

2913048576 has 192 divisors, whose sum is σ = 8714160000. Its totient is φ = 961486848.

The previous prime is 2913048569. The next prime is 2913048577. The reversal of 2913048576 is 6758403192.

2913048576 is a `hidden beast` number, since 2 + 9 + 1 + 30 + 48 + 576 = 666.

2913048576 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×29130485762 = 16971704012271255552, which contains 22 as substring.

2913048576 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2913048577) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7685955 + ... + 7686333.

It is an arithmetic number, because the mean of its divisors is an integer number (45386250).

It is a 1-persistent number, because it is pandigital, but 2⋅2913048576 = 5826097152 is not.

Almost surely, 22913048576 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 2913048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080000).

2913048576 is an abundant number, since it is smaller than the sum of its proper divisors (5801111424).

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

2913048576 is a wasteful number, since it uses less digits than its factorization.

2913048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2913048576 is about 53972.6650815021. The cubic root of 2913048576 is about 1428.1787785490.

The spelling of 2913048576 in words is "two billion, nine hundred thirteen million, forty-eight thousand, five hundred seventy-six".