Search a number
-
+
60248516445 = 34513233891279
BaseRepresentation
bin111000000111000101…
…110110011101011101
312202111211012202020000
4320013011312131131
51441342110011240
643402222444513
74232004640305
oct700705663535
9182454182200
1060248516445
1123607798157
12b815133739
1358b20a0540
142cb78a4605
151879492430
hexe0717675d

60248516445 has 160 divisors (see below), whose sum is σ = 121772851200. Its totient is φ = 28276148736.

The previous prime is 60248516437. The next prime is 60248516483. The reversal of 60248516445 is 54461584206.

It is a happy number.

60248516445 is a `hidden beast` number, since 6 + 0 + 2 + 485 + 164 + 4 + 5 = 666.

It is not a de Polignac number, because 60248516445 - 23 = 60248516437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 60248516445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47105316 + ... + 47106594.

It is an arithmetic number, because the mean of its divisors is an integer number (761080320).

Almost surely, 260248516445 is an apocalyptic number.

60248516445 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

60248516445 is an abundant number, since it is smaller than the sum of its proper divisors (61524334755).

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

60248516445 is a wasteful number, since it uses less digits than its factorization.

60248516445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 60248516445 in words is "sixty billion, two hundred forty-eight million, five hundred sixteen thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 115 117 135 195 207 299 345 351 389 405 585 621 897 1035 1053 1167 1279 1495 1755 1863 1945 2691 3105 3501 3837 4485 5057 5265 5835 6395 8073 8947 9315 10503 11511 13455 15171 16627 17505 19185 24219 25285 26841 29417 31509 34533 40365 44735 45513 49881 52515 57555 75855 80523 83135 88251 103599 116311 121095 134205 136539 147085 149643 157545 172665 227565 241569 249405 264753 348933 382421 402615 409617 441255 448929 497531 517995 581555 682695 724707 748215 794259 1046799 1147263 1207845 1323765 1346787 1492593 1744665 1912105 2048085 2244645 2382777 2487655 3140397 3441789 3623535 3971295 4477779 5233995 5736315 6467903 6733935 7462965 9421191 10325367 11443213 11913885 13433337 15701985 17208945 19403709 22388895 30976101 32339515 34329639 40300011 47105955 51626835 57216065 58211127 67166685 97018545 102988917 148761769 154880505 171648195 174633381 201500055 291055635 308966751 446285307 514944585 523900143 743808845 873166905 926900253 1338855921 1544833755 2231426535 2619500715 4016567763 4634501265 6694279605 12049703289 20082838815 60248516445