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2158650648 = 233671121923
BaseRepresentation
bin1000000010101010…
…0110010100011000
312120102212211000000
42000222212110120
513410103310043
6554111213000
7104331141060
oct20052462430
95512784000
102158650648
11a08558200
12502b17160
132852b489b
141669963a0
15c97a02d3
hex80aa6518

2158650648 has 672 divisors, whose sum is σ = 8373254400. Its totient is φ = 508083840.

The previous prime is 2158650647. The next prime is 2158650653. The reversal of 2158650648 is 8460568512.

2158650648 is a `hidden beast` number, since 2 + 1 + 586 + 5 + 0 + 64 + 8 = 666.

It is a super-2 number, since 2×21586506482 = 9319545240221639808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158650643) 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 167 ways as a sum of consecutive naturals, for example, 93854365 + ... + 93854387.

It is an arithmetic number, because the mean of its divisors is an integer number (12460200).

Almost surely, 22158650648 is an apocalyptic number.

2158650648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2158650648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186627200).

2158650648 is an abundant number, since it is smaller than the sum of its proper divisors (6214603752).

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

2158650648 is a wasteful number, since it uses less digits than its factorization.

2158650648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2158650648 is about 46461.2811704542. The cubic root of 2158650648 is about 1292.3915828783.

The spelling of 2158650648 in words is "two billion, one hundred fifty-eight million, six hundred fifty thousand, six hundred forty-eight".