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3746341133 = 293133891061
BaseRepresentation
bin1101111101001100…
…1010000100001101
3100200002101211220022
43133103022010031
530133030404013
61415425031525
7161560242233
oct33723120415
910602354808
103746341133
1116527915a7
128867855a5
134791ca802
142777a4953
1516dd6c008
hexdf4ca10d

3746341133 has 16 divisors (see below), whose sum is σ = 3901575600. Its totient is φ = 3592942080.

The previous prime is 3746341091. The next prime is 3746341139. The reversal of 3746341133 is 3311436473.

3746341133 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 8 ways, for example, as 565155529 + 3181185604 = 23773^2 + 56402^2 .

It is a cyclic number.

It is not a de Polignac number, because 3746341133 - 220 = 3745292557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3746341093 and 3746341102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746341139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3530423 + ... + 3531483.

It is an arithmetic number, because the mean of its divisors is an integer number (243848475).

Almost surely, 23746341133 is an apocalyptic number.

It is an amenable number.

3746341133 is a deficient number, since it is larger than the sum of its proper divisors (155234467).

3746341133 is a wasteful number, since it uses less digits than its factorization.

3746341133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792.

The product of its digits is 54432, while the sum is 35.

The square root of 3746341133 is about 61207.3617549393. The cubic root of 3746341133 is about 1553.1108018642.

The spelling of 3746341133 in words is "three billion, seven hundred forty-six million, three hundred forty-one thousand, one hundred thirty-three".

Divisors: 1 29 313 389 1061 9077 11281 30769 121757 332093 412729 3530953 9630697 11969141 129184177 3746341133