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4108848128 = 21071131412
BaseRepresentation
bin1111010011101000…
…0000110000000000
3101121100112010000022
43310322000300000
531403331120003
61515414513012
7203551430030
oct36472006000
911540463008
104108848128
111819379460
12968065768
135063426a8
142ad9a98c0
15190ac6738
hexf4e80c00

4108848128 has 264 divisors, whose sum is σ = 10834885632. Its totient is φ = 1511424000.

The previous prime is 4108848119. The next prime is 4108848131. The reversal of 4108848128 is 8218488014.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 23 ways as a sum of consecutive naturals, for example, 100215788 + ... + 100215828.

Almost surely, 24108848128 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 4108848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417442816).

4108848128 is an abundant number, since it is smaller than the sum of its proper divisors (6726037504).

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

4108848128 is a wasteful number, since it uses less digits than its factorization.

4108848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The square root of 4108848128 is about 64100.2974096065. The cubic root of 4108848128 is about 1601.6711871840.

The spelling of 4108848128 in words is "four billion, one hundred eight million, eight hundred forty-eight thousand, one hundred twenty-eight".