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3745743313 = 134115114651
BaseRepresentation
bin1101111101000011…
…1000000111010001
3100200001021110211211
43133100320013101
530132402241223
61415404140121
7161552202304
oct33720700721
910601243754
103745743313
111652413434
12886537641
1347904b680
1427768ab3b
1516dc9ed0d
hexdf4381d1

3745743313 has 16 divisors (see below), whose sum is σ = 4135888512. Its totient is φ = 3370320000.

The previous prime is 3745743293. The next prime is 3745743317. The reversal of 3745743313 is 3133475473.

It is a happy number.

3745743313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3745743313 is a prime.

It is a super-3 number, since 3×37457433133 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3745743317) 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, 803038 + ... + 807688.

It is an arithmetic number, because the mean of its divisors is an integer number (258493032).

Almost surely, 23745743313 is an apocalyptic number.

It is an amenable number.

3745743313 is a deficient number, since it is larger than the sum of its proper divisors (390145199).

3745743313 is a wasteful number, since it uses less digits than its factorization.

3745743313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216.

The product of its digits is 317520, while the sum is 40.

The square root of 3745743313 is about 61202.4779972184. The cubic root of 3745743313 is about 1553.0281852472.

The spelling of 3745743313 in words is "three billion, seven hundred forty-five million, seven hundred forty-three thousand, three hundred thirteen".

Divisors: 1 13 41 533 1511 4651 19643 60463 61951 190691 805363 2478983 7027661 91359593 288134101 3745743313