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4107996000 = 25345331409
BaseRepresentation
bin1111010011011011…
…0000101101100000
3101121021220211010000
43310312300231200
531403121333000
61515344340000
7203541250503
oct36466605540
911537824100
104107996000
111818947219
12967914600
13506104884
142ad82713a
151909a9000
hexf4db0b60

4107996000 has 480 divisors, whose sum is σ = 15602146560. Its totient is φ = 1057536000.

The previous prime is 4107995993. The next prime is 4107996049. The reversal of 4107996000 is 6997014.

4107996000 is a `hidden beast` number, since 41 + 0 + 7 + 9 + 9 + 600 + 0 = 666.

4107996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×41079960002 = 33751262272032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10043796 + ... + 10044204.

It is an arithmetic number, because the mean of its divisors is an integer number (32504472).

Almost surely, 24107996000 is an apocalyptic number.

4107996000 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 4107996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801073280).

4107996000 is an abundant number, since it is smaller than the sum of its proper divisors (11494150560).

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

4107996000 is a wasteful number, since it uses less digits than its factorization.

4107996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 4107996000 is about 64093.6502315167. The cubic root of 4107996000 is about 1601.5604567811.

The spelling of 4107996000 in words is "four billion, one hundred seven million, nine hundred ninety-six thousand".