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3986116893 = 331137734969
BaseRepresentation
bin1110110110010111…
…0101000100011101
3101021210120201102000
43231211311010131
531130421220033
61455312152513
7200531302023
oct35545650435
911253521360
103986116893
111766071690
12932b38739
134b6aa0565
1429b57c713
15184e31a13
hexed97511d

3986116893 has 64 divisors (see below), whose sum is σ = 6708307200. Its totient is φ = 2317870080.

The previous prime is 3986116889. The next prime is 3986116907.

3986116893 is a `hidden beast` number, since 398 + 6 + 1 + 168 + 93 = 666.

3986116893 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3986116893 - 22 = 3986116889 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3986116793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799713 + ... + 804681.

It is an arithmetic number, because the mean of its divisors is an integer number (104817300).

Almost surely, 23986116893 is an apocalyptic number.

3986116893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3986116893 is a deficient number, since it is larger than the sum of its proper divisors (2722190307).

3986116893 is a wasteful number, since it uses less digits than its factorization.

3986116893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5093 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 3986116893 is about 63135.7022056459. The cubic root of 3986116893 is about 1585.5624182743.

It can be divided in two parts, 398611 and 6893, that added together give a palindrome (405504).

The spelling of 3986116893 in words is "three billion, nine hundred eighty-six million, one hundred sixteen thousand, eight hundred ninety-three".

Divisors: 1 3 9 11 27 33 37 73 99 111 219 297 333 407 657 803 999 1221 1971 2409 2701 3663 4969 7227 8103 10989 14907 21681 24309 29711 44721 54659 72927 89133 134163 163977 183853 267399 362737 491931 551559 802197 1088211 1475793 1654677 2022383 3264633 3990107 4964031 6067149 9793899 11970321 13421269 18201447 35910963 40263807 54604341 107732889 120791421 147633959 362374263 442901877 1328705631 3986116893