Search a number
-
+
67760741630568 = 23374127465121013
BaseRepresentation
bin11110110100000110001101…
…11011110100001001101000
322212220212022120221102201110
433122003012323310021220
532340142444324134233
6400040504401150320
720162360226400260
oct1732030673641150
9285825276842643
1067760741630568
111a65519514a128
12772459b32b3a0
132ba6a6c92808c
1412a38cd01a7a0
157c792bc54663
hex3da0c6ef4268

67760741630568 has 128 divisors (see below), whose sum is σ = 193699883704320. Its totient is φ = 19350438278400.

The previous prime is 67760741630509. The next prime is 67760741630581. The reversal of 67760741630568 is 86503614706776.

67760741630568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×677607416305683 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67760741630499 and 67760741630508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224695230 + ... + 3224716242.

It is an arithmetic number, because the mean of its divisors is an integer number (1513280341440).

Almost surely, 267760741630568 is an apocalyptic number.

It is an amenable number.

67760741630568 is an abundant number, since it is smaller than the sum of its proper divisors (125939142073752).

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

67760741630568 is a wasteful number, since it uses less digits than its factorization.

67760741630568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29807 (or 29803 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 67760741630568 in words is "sixty-seven trillion, seven hundred sixty billion, seven hundred forty-one million, six hundred thirty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4127 4651 8254 9302 12381 13953 16508 18604 21013 24762 27906 28889 32557 33016 37208 42026 49524 55812 57778 63039 65114 84052 86667 97671 99048 111624 115556 126078 130228 147091 168104 173334 195342 231112 252156 260456 294182 346668 390684 441273 504312 588364 693336 781368 882546 1176728 1765092 3530184 19194677 38389354 57584031 76778708 86720651 97731463 115168062 134362739 153557416 173441302 195462926 230336124 260161953 268725478 293194389 346882604 390925852 403088217 460672248 520323906 537450956 586388778 607044557 684120241 693765208 781851704 806176434 1040647812 1074901912 1172777556 1214089114 1368240482 1612352868 1821133671 2052360723 2081295624 2345555112 2428178228 2736480964 3224705736 3642267342 4104721446 4856356456 5472961928 7284534684 8209442892 14569069368 16418885784 403337747801 806675495602 1210013243403 1613350991204 2420026486806 2823364234607 3226701982408 4840052973612 5646728469214 8470092703821 9680105947224 11293456938428 16940185407642 22586913876856 33880370815284 67760741630568