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3820873743 = 321729861139
BaseRepresentation
bin1110001110111101…
…1110100000001111
3100212021122111102100
43203233132200033
530311120424433
61431050330143
7163453614411
oct34357364017
910767574370
103820873743
111690868aa5
128a7729953
1348b79544b
142836469b1
15175690b13
hexe3bde80f

3820873743 has 24 divisors (see below), whose sum is σ = 6045202800. Its totient is φ = 2314738944.

The previous prime is 3820873739. The next prime is 3820873753. The reversal of 3820873743 is 3473780283.

It is not a de Polignac number, because 3820873743 - 22 = 3820873739 is a prime.

It is a super-3 number, since 3×38208737433 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820873703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426133 + ... + 435006.

It is an arithmetic number, because the mean of its divisors is an integer number (251883450).

Almost surely, 23820873743 is an apocalyptic number.

3820873743 is a deficient number, since it is larger than the sum of its proper divisors (2224329057).

3820873743 is a wasteful number, since it uses less digits than its factorization.

3820873743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861191 (or 861188 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3820873743 is about 61813.2165721862. The cubic root of 3820873743 is about 1563.3428403194.

The spelling of 3820873743 in words is "three billion, eight hundred twenty million, eight hundred seventy-three thousand, seven hundred forty-three".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 861139 2583417 7750251 14639363 24973031 43918089 74919093 131754267 224757279 424541527 1273624581 3820873743