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3766375093 = 135313739901
BaseRepresentation
bin1110000001111110…
…0101001010110101
3100201111002200022211
43200133211022311
530203143000333
61421422253421
7162222442255
oct34037451265
910644080284
103766375093
111663025398
12891427271
134803c3520
1427a2db965
151709c7ecd
hexe07e52b5

3766375093 has 16 divisors (see below), whose sum is σ = 4162895856. Its totient is φ = 3386073600.

The previous prime is 3766375043. The next prime is 3766375099. The reversal of 3766375093 is 3905736673.

It can be written as a sum of positive squares in 8 ways, for example, as 388208209 + 3378166884 = 19703^2 + 58122^2 .

It is not a de Polignac number, because 3766375093 - 221 = 3764277941 is a prime.

It is a super-3 number, since 3×37663750933 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766375099) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74443 + ... + 114343.

It is an arithmetic number, because the mean of its divisors is an integer number (260180991).

Almost surely, 23766375093 is an apocalyptic number.

It is an amenable number.

3766375093 is a deficient number, since it is larger than the sum of its proper divisors (396520763).

3766375093 is a wasteful number, since it uses less digits than its factorization.

3766375093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40104.

The product of its (nonzero) digits is 2143260, while the sum is 49.

The square root of 3766375093 is about 61370.8000029330. The cubic root of 3766375093 is about 1555.8743569564.

The spelling of 3766375093 in words is "three billion, seven hundred sixty-six million, three hundred seventy-five thousand, ninety-three".

Divisors: 1 13 53 137 689 1781 7261 39901 94393 518713 2114753 5466437 27491789 71063681 289721161 3766375093