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128106371916 = 223213134778283
BaseRepresentation
bin111011101001110111…
…1000001101101001100
3110020122221201222020100
41313103233001231030
54044330212400131
6134503512051100
712153411123525
oct1672357015514
9406587658210
10128106371916
114a369786346
12209b2693a90
13c107792343
1462b3bbd84c
1534eb9b37e6
hex1dd3bc1b4c

128106371916 has 72 divisors (see below), whose sum is σ = 327240897984. Its totient is φ = 42253492320.

The previous prime is 128106371903. The next prime is 128106371923. The reversal of 128106371916 is 619173601821.

128106371916 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 0 + 637 + 1 + 9 + 1 + 6 = 666.

It is a super-2 number, since 2×1281063719162 (a number of 23 digits) contains 22 as substring.

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, 1597311 + ... + 1675593.

It is an arithmetic number, because the mean of its divisors is an integer number (4545012472).

Almost surely, 2128106371916 is an apocalyptic number.

It is an amenable number.

128106371916 is an abundant number, since it is smaller than the sum of its proper divisors (199134526068).

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

128106371916 is a wasteful number, since it uses less digits than its factorization.

128106371916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78771 (or 78766 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 128106371916 in words is "one hundred twenty-eight billion, one hundred six million, three hundred seventy-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 347 393 524 694 786 1041 1179 1388 1572 2082 2358 3123 4164 4716 6246 12492 45457 78283 90914 136371 156566 181828 234849 272742 313132 409113 469698 545484 704547 818226 939396 1409094 1636452 2818188 10255073 20510146 27164201 30765219 41020292 54328402 61530438 81492603 92295657 108656804 123060876 162985206 184591314 244477809 325970412 369182628 488955618 977911236 3558510331 7117020662 10675530993 14234041324 21351061986 32026592979 42702123972 64053185958 128106371916