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3694813056 = 27351110799
BaseRepresentation
bin1101110000111010…
…0101111110000000
3100112111102221200000
43130032211332000
530031333004211
61410344400000
7160363251504
oct33416457600
910474387600
103694813056
111626697810
12871476000
1346b628a1c
142709d0304
1516958e656
hexdc3a5f80

3694813056 has 192 divisors, whose sum is σ = 12029472000. Its totient is φ = 1119536640.

The previous prime is 3694813039. The next prime is 3694813079. The reversal of 3694813056 is 6503184963.

3694813056 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336745 + ... + 347543.

It is an arithmetic number, because the mean of its divisors is an integer number (62653500).

Almost surely, 23694813056 is an apocalyptic number.

3694813056 is a gapful number since it is divisible by the number (36) 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 3694813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000).

3694813056 is an abundant number, since it is smaller than the sum of its proper divisors (8334658944).

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

3694813056 is a wasteful number, since it uses less digits than its factorization.

3694813056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839 (or 10815 counting only the distinct ones).

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

The square root of 3694813056 is about 60784.9739327081. The cubic root of 3694813056 is about 1545.9572840171.

The spelling of 3694813056 in words is "three billion, six hundred ninety-four million, eight hundred thirteen thousand, fifty-six".