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3774208896 = 2732171911009
BaseRepresentation
bin1110000011110101…
…1101101110000000
3100202000211200021200
43200331131232000
530212144141041
61422302221200
7162346150323
oct34075355600
910660750250
103774208896
111667496007
12893b84800
13481c07103
1427b37a7ba
151715241b6
hexe0f5db80

3774208896 has 192 divisors, whose sum is σ = 11571206400. Its totient is φ = 1176698880.

The previous prime is 3774208883. The next prime is 3774208969. The reversal of 3774208896 is 6988024773.

3774208896 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, 3740040 + ... + 3741048.

It is an arithmetic number, because the mean of its divisors is an integer number (60266700).

Almost surely, 23774208896 is an apocalyptic number.

3774208896 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 3774208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785603200).

3774208896 is an abundant number, since it is smaller than the sum of its proper divisors (7796997504).

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

3774208896 is a wasteful number, since it uses less digits than its factorization.

3774208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3774208896 is about 61434.5903868497. The cubic root of 3774208896 is about 1556.9523140814.

The spelling of 3774208896 in words is "three billion, seven hundred seventy-four million, two hundred eight thousand, eight hundred ninety-six".