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3674641489920 = 2133751719127
BaseRepresentation
bin110101011110010001101…
…100110110000000000000
3111000021220002020220000000
4311132101230312000000
5440201131210134140
611452035040000000
7526325020206252
oct65362154660000
914007802226000
103674641489920
111197452361425
124b4206000000
132086953baa9b
14c9bd43adcd2
15658bc40da30
hex35791b36000

3674641489920 has 1792 divisors, whose sum is σ = 14856995635200. Its totient is φ = 866843099136.

The previous prime is 3674641489891. The next prime is 3674641489943. The reversal of 3674641489920 is 299841464763.

It is a happy number.

3674641489920 is a `hidden beast` number, since 3 + 6 + 7 + 4 + 64 + 1 + 489 + 92 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28934184897 + ... + 28934185023.

Almost surely, 23674641489920 is an apocalyptic number.

3674641489920 is a gapful number since it is divisible by the number (30) 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 3674641489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428497817600).

3674641489920 is an abundant number, since it is smaller than the sum of its proper divisors (11182354145280).

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

3674641489920 is an equidigital number, since it uses as much as digits as its factorization.

3674641489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3674641489920 in words is "three trillion, six hundred seventy-four billion, six hundred forty-one million, four hundred eighty-nine thousand, nine hundred twenty".