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2140846848 = 28347443
BaseRepresentation
bin111111110011010…
…1011101100000000
312112012101021210000
41333212223230000
513341024044343
6552233440000
7104023620000
oct17746535400
95465337700
102140846848
119a94a7a18
124b8b70000
132816bccaa
14164480000
15c7e34ed3
hex7f9abb00

2140846848 has 450 divisors, whose sum is σ = 7620299764. Its totient is φ = 597445632.

The previous prime is 2140846843. The next prime is 2140846859. The reversal of 2140846848 is 8486480412.

2140846848 is a `hidden beast` number, since 2 + 140 + 8 + 468 + 48 = 666.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2140846843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 49787115 + ... + 49787157.

Almost surely, 22140846848 is an apocalyptic number.

2140846848 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 2140846848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810149882).

2140846848 is an abundant number, since it is smaller than the sum of its proper divisors (5479452916).

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

2140846848 is an frugal number, since it uses more digits than its factorization.

2140846848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2140846848 is about 46269.2862274749. The cubic root of 2140846848 is about 1288.8287042492.

The spelling of 2140846848 in words is "two billion, one hundred forty million, eight hundred forty-six thousand, eight hundred forty-eight".