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8124338412 = 2232537275857
BaseRepresentation
bin1111001000011111…
…11001000011101100
3202222012101011010200
413210033321003230
5113114312312122
63422100433500
7405220510551
oct74417710354
922865334120
108124338412
113499a82773
1216a89a8890
139c6228948
14570dd2a28
153283ab5ac
hex1e43f90ec

8124338412 has 72 divisors (see below), whose sum is σ = 20956362336. Its totient is φ = 2652908544.

The previous prime is 8124338377. The next prime is 8124338447. The reversal of 8124338412 is 2148334218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8124338377) and next prime (8124338447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384188 + ... + 1390044.

It is an arithmetic number, because the mean of its divisors is an integer number (291060588).

Almost surely, 28124338412 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 8124338412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478181168).

8124338412 is an abundant number, since it is smaller than the sum of its proper divisors (12832023924).

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

8124338412 is a wasteful number, since it uses less digits than its factorization.

8124338412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6642 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8124338412 is about 90135.1119819574. Note that the first 3 decimals coincide. The cubic root of 8124338412 is about 2010.3083123998.

The spelling of 8124338412 in words is "eight billion, one hundred twenty-four million, three hundred thirty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 727 954 1454 1908 2181 2908 4362 5857 6543 8724 11714 13086 17571 23428 26172 35142 38531 52713 70284 77062 105426 115593 154124 210852 231186 310421 346779 462372 620842 693558 931263 1241684 1387116 1862526 2793789 3725052 4258039 5587578 8516078 11175156 12774117 17032156 25548234 38322351 51096468 76644702 153289404 225676067 451352134 677028201 902704268 1354056402 2031084603 2708112804 4062169206 8124338412