Search a number
-
+
8668684868668 = 22112239726333049
BaseRepresentation
bin111111000100101010111…
…1000011101110000111100
31010200201101112221022012021
41332021111320131300330
52114011431311244133
630234201105245524
71553202043422616
oct176112570356074
933621345838167
108668684868668
112842406686200
12b800710338a4
134ab5b8393996
1421d7d09d9db6
1510075bc1552d
hex7e255e1dc3c

8668684868668 has 144 divisors (see below), whose sum is σ = 17591489294400. Its totient is φ = 3727498199040.

The previous prime is 8668684868651. The next prime is 8668684868681.

8668684868668 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2843122408 + ... + 2843125456.

It is an arithmetic number, because the mean of its divisors is an integer number (122163120100).

Almost surely, 28668684868668 is an apocalyptic number.

It is an amenable number.

8668684868668 is an abundant number, since it is smaller than the sum of its proper divisors (8922804425732).

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

8668684868668 is a wasteful number, since it uses less digits than its factorization.

8668684868668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5815 counting only the distinct ones).

The product of its digits is 48922361856, while the sum is 88.

The spelling of 8668684868668 in words is "eight trillion, six hundred sixty-eight billion, six hundred eighty-four million, eight hundred sixty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 4 11 22 23 44 46 92 97 121 194 242 253 388 484 506 1012 1067 2134 2231 2633 2783 3049 4268 4462 5266 5566 6098 8924 10532 11132 11737 12196 23474 24541 28963 33539 46948 49082 57926 60559 67078 70127 98164 115852 121118 134156 140254 242236 255401 269951 280508 295753 318593 368929 510802 539902 591506 637186 666149 737858 771397 1021604 1079804 1183012 1274372 1332298 1475716 1542794 2664596 2809411 3085588 3253283 5618822 5874223 6506566 6802319 7327639 8028017 8485367 11237644 11748446 13013132 13604638 14655278 16056034 16970734 23496892 27209276 29310556 30903521 32112068 33941468 35786113 61807042 64616453 71572226 74825509 88308187 123614084 129232906 143144452 149651018 176616374 184644391 258465812 299302036 353232748 369288782 710780983 738577564 778717649 823080599 971390057 1421561966 1557435298 1646161198 1942780114 2031088301 2843123932 3114870596 3292322396 3885560228 4062176602 8124353204 8565894139 17131788278 17910505927 22341971311 34263576556 35821011854 44683942622 71642023708 89367885244 94224835529 188449671058 197015565197 376899342116 394031130394 788062260788 2167171217167 4334342434334 8668684868668