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4099848480 = 2533571310429
BaseRepresentation
bin1111010001011110…
…1011100100100000
3101120201120212211000
43310113223210200
531344030122410
61514453552000
7203412065010
oct36427534440
911521525730
104099848480
111814291932
12965045600
13504511260
142ac705c40
1518ede9dc0
hexf45eb920

4099848480 has 384 divisors, whose sum is σ = 17662579200. Its totient is φ = 864940032.

The previous prime is 4099848449. The next prime is 4099848517. The reversal of 4099848480 is 848489904.

4099848480 is a `hidden beast` number, since 409 + 9 + 84 + 84 + 80 = 666.

4099848480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387906 + ... + 398334.

It is an arithmetic number, because the mean of its divisors is an integer number (45996300).

Almost surely, 24099848480 is an apocalyptic number.

4099848480 is a gapful number since it is divisible by the number (40) 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 4099848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831289600).

4099848480 is an abundant number, since it is smaller than the sum of its proper divisors (13562730720).

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

4099848480 is a wasteful number, since it uses less digits than its factorization.

4099848480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10459 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4099848480 is about 64030.0591909769. The cubic root of 4099848480 is about 1600.5009473077.

The spelling of 4099848480 in words is "four billion, ninety-nine million, eight hundred forty-eight thousand, four hundred eighty".