Search a number
-
+
3850512204672 = 273475191163
BaseRepresentation
bin111000000010000100011…
…010011000001110000000
3111122002211211000212210000
4320002010122120032000
51001041322111022142
612104522331440000
7545122165500000
oct70020432301600
914562754025700
103850512204672
111254aa1836471
125223088b6000
1321c1426b5583
14d4519a00000
156a26235514c
hex38084698380

3850512204672 has 960 divisors, whose sum is σ = 14084512675200. Its totient is φ = 1041347736576.

The previous prime is 3850512204631. The next prime is 3850512204731. The reversal of 3850512204672 is 2764022150583.

3850512204672 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 512 + 20 + 46 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3310843963 + ... + 3310845125.

It is an arithmetic number, because the mean of its divisors is an integer number (14671367370).

Almost surely, 23850512204672 is an apocalyptic number.

3850512204672 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 3850512204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042256337600).

3850512204672 is an abundant number, since it is smaller than the sum of its proper divisors (10234000470528).

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

3850512204672 is an frugal number, since it uses more digits than its factorization.

3850512204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 3850512204672 in words is "three trillion, eight hundred fifty billion, five hundred twelve million, two hundred four thousand, six hundred seventy-two".