Search a number
-
+
68840820272 = 247171491511607
BaseRepresentation
bin100000000011100111…
…0111000111000110000
320120200122011000020002
41000013032320320300
52111441222222042
651343001405132
74654640213630
oct1000716707060
9216618130202
1068840820272
11272169371a4
12114127997a8
1366512461a3
143490ab06c0
151bcd98a132
hex10073b8e30

68840820272 has 160 divisors (see below), whose sum is σ = 163660953600. Its totient is φ = 27381657600.

The previous prime is 68840820271. The next prime is 68840820317. The reversal of 68840820272 is 27202804886.

It is not an unprimeable number, because it can be changed into a prime (68840820271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42837293 + ... + 42838899.

It is an arithmetic number, because the mean of its divisors is an integer number (1022880960).

Almost surely, 268840820272 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 68840820272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81830476800).

68840820272 is an abundant number, since it is smaller than the sum of its proper divisors (94820133328).

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

68840820272 is a wasteful number, since it uses less digits than its factorization.

68840820272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 47.

The spelling of 68840820272 in words is "sixty-eight billion, eight hundred forty million, eight hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 149 151 238 272 298 302 476 596 604 952 1043 1057 1192 1208 1607 1904 2086 2114 2384 2416 2533 2567 3214 4172 4228 5066 5134 6428 8344 8456 10132 10268 11249 12856 16688 16912 17731 17969 20264 20536 22498 22499 25712 27319 35462 35938 40528 41072 44996 44998 54638 70924 71876 89992 89996 109276 141848 143752 157493 179984 179992 191233 218552 239443 242657 283696 287504 314986 359984 382466 382483 437104 478886 485314 629972 764932 764966 957772 970628 1259944 1529864 1529932 1676101 1698599 1915544 1941256 2519888 2677381 3059728 3059864 3352202 3397198 3831088 3882512 4070531 4125169 5354762 6119728 6704404 6794396 8141062 8250338 10709524 13408808 13588792 16282124 16500676 21419048 26817616 27177584 28493717 28876183 32564248 33001352 36155893 42838096 56987434 57752366 65128496 66002704 72311786 113974868 115504732 144623572 227949736 231009464 253091251 289247144 455899472 462018928 506182502 578494288 614650181 1012365004 1229300362 2024730008 2458600724 4049460016 4302551267 4917201448 8605102534 9834402896 17210205068 34420410136 68840820272