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8368228638 = 23371116312347
BaseRepresentation
bin1111100101100100…
…10000100100011110
3210121012022001122000
413302302100210132
5114114231304023
63502212103130
7414241525020
oct76262204436
923535261560
108368228638
113604713040
121756604aa6
13a3490c3a3
1459555c010
1533e9d5243
hex1f2c9091e

8368228638 has 128 divisors (see below), whose sum is σ = 23328829440. Its totient is φ = 2160056160.

The previous prime is 8368228619. The next prime is 8368228679.

8368228638 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671581 + ... + 683927.

It is an arithmetic number, because the mean of its divisors is an integer number (182256480).

Almost surely, 28368228638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8368228638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664414720).

8368228638 is an abundant number, since it is smaller than the sum of its proper divisors (14960600802).

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

8368228638 is a wasteful number, since it uses less digits than its factorization.

8368228638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12533 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 8368228638 is about 91478.0227049098. The cubic root of 8368228638 is about 2030.2265949425.

It can be divided in two parts, 83 and 68228638, that added together give a triangular number (68228721 = T11681).

The spelling of 8368228638 in words is "eight billion, three hundred sixty-eight million, two hundred twenty-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 163 189 198 231 297 326 378 462 489 594 693 978 1141 1386 1467 1793 2079 2282 2934 3423 3586 4158 4401 5379 6846 8802 10269 10758 12347 12551 16137 20538 24694 25102 30807 32274 37041 37653 48411 61614 74082 75306 86429 96822 111123 112959 135817 172858 222246 225918 259287 271634 333369 338877 407451 518574 666738 677754 777861 814902 950719 1222353 1555722 1901438 2012561 2333583 2444706 2852157 3667059 4025122 4667166 5704314 6037683 7334118 8556471 12075366 14087927 17112942 18113049 22138171 25669413 28175854 36226098 42263781 44276342 51338826 54339147 66414513 84527562 108678294 126791343 132829026 154967197 199243539 253582686 309934394 380374029 398487078 464901591 597730617 760748058 929803182 1195461234 1394704773 2789409546 4184114319 8368228638