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67141683168 = 2537223620579
BaseRepresentation
bin111110100001111101…
…001100011111100000
320102022012220220022020
4332201331030133200
52100001232330133
650502223141440
74564555614300
oct764175143740
9212265826266
1067141683168
112652480335a
1211019744880
13644020c611
14336d171600
151b2e7070b3
hexfa1f4c7e0

67141683168 has 144 divisors (see below), whose sum is σ = 213936266880. Its totient is φ = 18349250304.

The previous prime is 67141683109. The next prime is 67141683227. The reversal of 67141683168 is 86138614176.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67141683109) and next prime (67141683227).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 67141683168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202098 + ... + 418481.

It is an arithmetic number, because the mean of its divisors is an integer number (1485668520).

Almost surely, 267141683168 is an apocalyptic number.

It is an amenable number.

67141683168 is an abundant number, since it is smaller than the sum of its proper divisors (146794583712).

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

67141683168 is a wasteful number, since it uses less digits than its factorization.

67141683168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620629 (or 620614 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 67141683168 in words is "sixty-seven billion, one hundred forty-one million, six hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1288 1568 1932 2208 2254 2352 2576 3381 3864 4508 4704 5152 6762 7728 9016 13524 15456 18032 27048 36064 54096 108192 620579 1241158 1861737 2482316 3723474 4344053 4964632 7446948 8688106 9929264 13032159 14273317 14893896 17376212 19858528 26064318 28546634 29787792 30408371 34752424 42819951 52128636 57093268 59575584 60816742 69504848 85639902 91225113 99913219 104257272 114186536 121633484 139009696 171279804 182450226 199826438 208514544 228373072 243266968 299739657 342559608 364900452 399652876 417029088 456746144 486533936 599479314 685119216 699392533 729800904 799305752 973067872 1198958628 1370238432 1398785066 1459601808 1598611504 2098177599 2397917256 2797570132 2919203616 3197223008 4196355198 4795834512 5595140264 8392710396 9591669024 11190280528 16785420792 22380561056 33570841584 67141683168