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4096452096 = 29331123179
BaseRepresentation
bin1111010000101010…
…1110011000000000
3101120111012022212000
43310022232120000
531342142431341
61514253104000
7203341161012
oct36412563000
911514168760
104096452096
111812382100
12963a88000
135038c2369
142ac0a01b2
1518e9788b6
hexf42ae600

4096452096 has 480 divisors, whose sum is σ = 13932441600. Its totient is φ = 1186099200.

The previous prime is 4096452089. The next prime is 4096452119. The reversal of 4096452096 is 6902546904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51853785 + ... + 51853863.

It is an arithmetic number, because the mean of its divisors is an integer number (29025920).

Almost surely, 24096452096 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 4096452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966220800).

4096452096 is an abundant number, since it is smaller than the sum of its proper divisors (9835989504).

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

4096452096 is a wasteful number, since it uses less digits than its factorization.

4096452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4096452096 is about 64003.5319025443. The cubic root of 4096452096 is about 1600.0588645010.

The spelling of 4096452096 in words is "four billion, ninety-six million, four hundred fifty-two thousand, ninety-six".