Search a number
-
+
3843297461472 = 253712759375941
BaseRepresentation
bin110111111011010110011…
…000010100010011100000
3111121102020000012221200220
4313323112120110103200
51000432033122231342
612101330402443040
7544445331260160
oct67732630242340
914542200187626
103843297461472
111251a2a24a087
12520a34663480
1321b562a62861
14d40337445a0
1569e8dc6d5ec
hex37ed66144e0

3843297461472 has 192 divisors, whose sum is σ = 11640428642304. Its totient is φ = 1087587164160.

The previous prime is 3843297461453. The next prime is 3843297461473. The reversal of 3843297461472 is 2741647923483.

3843297461472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3843297461473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50571022 + ... + 50646962.

It is an arithmetic number, because the mean of its divisors is an integer number (60627232512).

Almost surely, 23843297461472 is an apocalyptic number.

3843297461472 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 3843297461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820214321152).

3843297461472 is an abundant number, since it is smaller than the sum of its proper divisors (7797131180832).

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

3843297461472 is a wasteful number, since it uses less digits than its factorization.

3843297461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76681 (or 76673 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 60.

The spelling of 3843297461472 in words is "three trillion, eight hundred forty-three billion, two hundred ninety-seven million, four hundred sixty-one thousand, four hundred seventy-two".