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39768140052 = 22341737195137
BaseRepresentation
bin100101000010010111…
…011010100100010100
310210122111202211110000
4211002113122210110
51122421120440202
630134053131300
72605330420164
oct450227324424
9123574684400
1039768140052
1115958095253
12785a329b30
13399a021824
141cd38945a4
15107b48791c
hex9425da914

39768140052 has 120 divisors (see below), whose sum is σ = 113052810024. Its totient is φ = 12139020288.

The previous prime is 39768140051. The next prime is 39768140147. The reversal of 39768140052 is 25004186793.

It can be written as a sum of positive squares in 4 ways, for example, as 28131340176 + 11636799876 = 167724^2 + 107874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39768140051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106228 + ... + 301364.

It is a 2-persistent number, because it is pandigital, and so is 2⋅39768140052 = 79536280104, but 3⋅39768140052 = 119304420156 is not.

Almost surely, 239768140052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39768140052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56526405012).

39768140052 is an abundant number, since it is smaller than the sum of its proper divisors (73284669972).

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

39768140052 is a wasteful number, since it uses less digits than its factorization.

39768140052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195207 (or 195196 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 39768140052 in words is "thirty-nine billion, seven hundred sixty-eight million, one hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 148 153 162 204 222 306 324 333 444 459 612 629 666 918 999 1258 1332 1377 1836 1887 1998 2516 2754 2997 3774 3996 5508 5661 5994 7548 11322 11988 16983 22644 33966 50949 67932 101898 195137 203796 390274 585411 780548 1170822 1756233 2341644 3317329 3512466 5268699 6634658 7024932 7220069 9951987 10537398 13269316 14440138 15806097 19903974 21074796 21660207 28880276 29855961 31612194 39807948 43320414 59711922 63224388 64980621 86640828 89567883 119423844 122741173 129961242 179135766 194941863 245482346 259922484 268703649 358271532 368223519 389883726 490964692 537407298 584825589 736447038 779767452 1074814596 1104670557 1169651178 1472894076 2209341114 2339302356 3314011671 4418682228 6628023342 9942035013 13256046684 19884070026 39768140052