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3818506068 = 22321317479953
BaseRepresentation
bin1110001110011001…
…1100011101010100
3100212010012012120200
43203212130131110
530310014143233
61430523500500
7163424523516
oct34346343524
910763165520
103818506068
11168a4a1143
128a6987730
1348b146860
142831cbbb6
15175374313
hexe399c754

3818506068 has 72 divisors (see below), whose sum is σ = 11006305128. Its totient is φ = 1105809408.

The previous prime is 3818506063. The next prime is 3818506073. The reversal of 3818506068 is 8606058183.

3818506068 is a `hidden beast` number, since 3 + 81 + 8 + 506 + 0 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3818506063) and next prime (3818506073).

It can be written as a sum of positive squares in 4 ways, for example, as 1547792964 + 2270713104 = 39342^2 + 47652^2 .

It is a super-4 number, since 4×38185060684 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3818506063) 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 23 ways as a sum of consecutive naturals, for example, 232021 + ... + 247932.

It is an arithmetic number, because the mean of its divisors is an integer number (152865349).

Almost surely, 23818506068 is an apocalyptic number.

It is an amenable number.

3818506068 is an abundant number, since it is smaller than the sum of its proper divisors (7187799060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3818506068 is a wasteful number, since it uses less digits than its factorization.

3818506068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479993 (or 479988 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3818506068 is about 61794.0617535375. The cubic root of 3818506068 is about 1563.0198555052.

The spelling of 3818506068 in words is "three billion, eight hundred eighteen million, five hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 479953 959906 1439859 1919812 2879718 4319577 5759436 6239389 8159201 8639154 12478778 16318402 17278308 18718167 24477603 24957556 32636804 37436334 48955206 56154501 73432809 74872668 97910412 106069613 112309002 146865618 212139226 224618004 293731236 318208839 424278452 636417678 954626517 1272835356 1909253034 3818506068