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3748912128 = 210321322983
BaseRepresentation
bin1101111101110011…
…1101110000000000
3100200021020110122100
43133130331300000
530134210142003
61420000110400
7161621140653
oct33734756000
910607213570
103748912128
111654188195
12887605400
134798bab00
14277c7389a
1516e1c8ba3
hexdf73dc00

3748912128 has 396 divisors, whose sum is σ = 12271928760. Its totient is φ = 1100316672.

The previous prime is 3748912103. The next prime is 3748912133. The reversal of 3748912128 is 8212198473.

It is a happy number.

3748912128 is a `hidden beast` number, since 37 + 489 + 12 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 45167575 + ... + 45167657.

Almost surely, 23748912128 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 3748912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135964380).

3748912128 is an abundant number, since it is smaller than the sum of its proper divisors (8523016632).

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

3748912128 is a wasteful number, since it uses less digits than its factorization.

3748912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 130 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3748912128 is about 61228.3604876041. The cubic root of 3748912128 is about 1553.4660041696.

The spelling of 3748912128 in words is "three billion, seven hundred forty-eight million, nine hundred twelve thousand, one hundred twenty-eight".