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3899756048400 = 243852232532
BaseRepresentation
bin111000101111111011100…
…100101111000000010000
3111210210221201000100000000
4320233323210233000100
51002343200022022100
612143305002130000
7551514406323342
oct70577344570020
914723851010000
103899756048400
111273971694083
1252b9704b0900
1322398c8b3644
14d6a6bb39292
156b695633900
hex38bfb92f010

3899756048400 has 1215 divisors, whose sum is σ = 14973009454039. Its totient is φ = 975952074240.

The previous prime is 3899756048389. The next prime is 3899756048401. The reversal of 3899756048400 is 48406579983.

The square root of 3899756048400 is 1974780.

It is a perfect power (a square), and thus also a powerful number.

3899756048400 is a `hidden beast` number, since 3 + 8 + 9 + 97 + 5 + 60 + 484 + 0 + 0 = 666.

3899756048400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29376588816 + 3870379459584 = 171396^2 + 1967328^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3899756048401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 73580302774 + ... + 73580302826.

Almost surely, 23899756048400 is an apocalyptic number.

3899756048400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3899756048400 is the 1974780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3899756048400

3899756048400 is an abundant number, since it is smaller than the sum of its proper divisors (11073253405639).

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

3899756048400 is an frugal number, since it uses more digits than its factorization.

3899756048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3899756048400 in words is "three trillion, eight hundred ninety-nine billion, seven hundred fifty-six million, forty-eight thousand, four hundred".