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2866685052 = 22371121312153
BaseRepresentation
bin1010101011011110…
…0010010001111100
321101210011200121110
42222313202101330
521332332410202
61152243002020
7131016264240
oct25267422174
97353150543
102866685052
111241194a00
12680069310
13368ba7c5a
141d2a22420
1511ba0d26c
hexaade247c

2866685052 has 144 divisors (see below), whose sum is σ = 8470699776. Its totient is φ = 738566400.

The previous prime is 2866685051. The next prime is 2866685069. The reversal of 2866685052 is 2505866682.

It is a junction number, because it is equal to n+sod(n) for n = 2866684992 and 2866685010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2866685051) 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 47 ways as a sum of consecutive naturals, for example, 1330408 + ... + 1332560.

It is an arithmetic number, because the mean of its divisors is an integer number (58824304).

Almost surely, 22866685052 is an apocalyptic number.

2866685052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2866685052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235349888).

2866685052 is an abundant number, since it is smaller than the sum of its proper divisors (5604014724).

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

2866685052 is a wasteful number, since it uses less digits than its factorization.

2866685052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2866685052 is about 53541.4330402166. The cubic root of 2866685052 is about 1420.5613485164.

The spelling of 2866685052 in words is "two billion, eight hundred sixty-six million, six hundred eighty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 131 132 154 231 242 262 308 363 393 462 484 524 726 786 847 917 924 1441 1452 1572 1694 1834 2153 2541 2751 2882 3388 3668 4306 4323 5082 5502 5764 6459 8612 8646 10087 10164 11004 12918 15071 15851 17292 20174 23683 25836 30142 30261 31702 40348 45213 47366 47553 60284 60522 63404 71049 90426 94732 95106 110957 121044 142098 165781 180852 190212 221914 260513 282043 284196 331562 332871 443828 497343 521026 564086 663124 665742 781539 846129 994686 1042052 1128172 1331484 1563078 1692258 1823591 1974301 1989372 3102473 3126156 3384516 3647182 3948602 5470773 5922903 6204946 7294364 7897204 9307419 10941546 11845806 12409892 18614838 21717311 21883092 23691612 34127203 37229676 43434622 65151933 68254406 86869244 102381609 130303866 136508812 204763218 238890421 260607732 409526436 477780842 716671263 955561684 1433342526 2866685052