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3828189641472 = 2834764740763
BaseRepresentation
bin110111101101010001111…
…000100011101100000000
3111112222020010012011210000
4313231101320203230000
51000210113022011342
612050351313440000
7543402052025550
oct67552170435400
914488203164700
103828189641472
111246587285329
12519b18b70000
13219cc5a957b1
14d33dd095160
15698a775c44c
hex37b51e23b00

3828189641472 has 360 divisors, whose sum is σ = 13066162534656. Its totient is φ = 1092051154944.

The previous prime is 3828189641453. The next prime is 3828189641503. The reversal of 3828189641472 is 2741469818283.

It is a happy number.

3828189641472 is a `hidden beast` number, since 3 + 8 + 2 + 81 + 89 + 6 + 4 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93892963 + ... + 93933725.

Almost surely, 23828189641472 is an apocalyptic number.

3828189641472 is a gapful number since it is divisible by the number (32) 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 3828189641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533081267328).

3828189641472 is an abundant number, since it is smaller than the sum of its proper divisors (9237972893184).

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

3828189641472 is an equidigital number, since it uses as much as digits as its factorization.

3828189641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41445 (or 41422 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 3828189641472 in words is "three trillion, eight hundred twenty-eight billion, one hundred eighty-nine million, six hundred forty-one thousand, four hundred seventy-two".