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166960613912975 = 52376122930742089
BaseRepresentation
bin100101111101100110001100…
…000101010111000110001111
3210220011021112020210111102022
4211331212030011113012033
5133340440314130203400
61351032351442120355
750111335441264151
oct4575461405270617
9726137466714368
10166960613912975
1149220664999483
12168861039500bb
13722141a4c79cc
142d32d1893cad1
151448066e04b85
hex97d98c15718f

166960613912975 has 96 divisors (see below), whose sum is σ = 217768198401600. Its totient is φ = 126852289228800.

The previous prime is 166960613912893. The next prime is 166960613913061. The reversal of 166960613912975 is 579219316069661.

It is a Cunningham number, because it is equal to 129213242-1.

It is not a de Polignac number, because 166960613912975 - 216 = 166960613847439 is a prime.

It is a super-3 number, since 3×1669606139129753 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 166960613912899 and 166960613912908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3966825731 + ... + 3966867819.

It is an arithmetic number, because the mean of its divisors is an integer number (2268418733350).

Almost surely, 2166960613912975 is an apocalyptic number.

166960613912975 is a deficient number, since it is larger than the sum of its proper divisors (50807584488625).

166960613912975 is a wasteful number, since it uses less digits than its factorization.

166960613912975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42733 (or 42728 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 71.

The spelling of 166960613912975 in words is "one hundred sixty-six trillion, nine hundred sixty billion, six hundred thirteen million, nine hundred twelve thousand, nine hundred seventy-five".

Divisors: 1 5 25 37 61 185 229 305 307 925 1145 1525 1535 2257 5725 7675 8473 11285 11359 13969 18727 42089 42365 56425 56795 69845 70303 93635 210445 211825 283975 349225 351515 468175 516853 692899 1052225 1557293 1757575 2567429 2584265 2601211 3464495 4288483 7786465 9638381 12837145 12921323 12921325 13006055 17322475 21442415 38932325 48191905 64185725 64606615 65030275 94994873 107212075 158673871 240959525 323033075 356620097 474974365 478088951 587941241 788200703 793369355 1783100485 2374871825 2390444755 2939706205 2958982967 3941003515 3966846775 8915502425 11952223775 14698531025 14794914835 19705017575 21753825917 29163426011 73974574175 108769129585 109482369779 145817130055 180497960987 543845647925 547411848895 729085650275 902489804935 2737059244475 4512449024675 6678424556519 33392122782595 166960613912975