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4099787076 = 22373112331127
BaseRepresentation
bin1111010001011101…
…1100100101000100
3101120201110202120210
43310113130211010
531344021141301
61514452355420
7203411421000
oct36427344504
911521422523
104099787076
11181424a790
12965015b70
135044bc318
142ac6cb700
1518edd6ad6
hexf45dc944

4099787076 has 384 divisors, whose sum is σ = 13212057600. Its totient is φ = 977961600.

The previous prime is 4099787071. The next prime is 4099787093. The reversal of 4099787076 is 6707879904.

4099787076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4099787076 is a nontrivial binomial coefficient, being equal to C(90552, 2).

It is not an unprimeable number, because it can be changed into a prime (4099787071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32281725 + ... + 32281851.

It is an arithmetic number, because the mean of its divisors is an integer number (34406400).

Almost surely, 24099787076 is an apocalyptic number.

4099787076 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4099787076 is the 90551-st triangular number and also the 45276-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099787076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606028800).

4099787076 is an abundant number, since it is smaller than the sum of its proper divisors (9112270524).

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

4099787076 is a wasteful number, since it uses less digits than its factorization.

4099787076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 4099787076 is about 64029.5796956375. The cubic root of 4099787076 is about 1600.4929569595.

The spelling of 4099787076 in words is "four billion, ninety-nine million, seven hundred eighty-seven thousand, seventy-six".