Search a number
-
+
65141622266460 = 223537272910752317
BaseRepresentation
bin11101100111110111101110…
…10000010101101001011100
322112122110220122210012100120
432303323313100111221130
532014240020300011320
6350313351555354540
716502220061205655
oct1663736720255134
9275573818705316
1065141622266460
1119835452592593
127380a715b2a50
132a46aa063540c
141212c2ad5a52c
1577e73a642440
hex3b3ef7415a5c

65141622266460 has 96 divisors (see below), whose sum is σ = 187394838845760. Its totient is φ = 16895415195648.

The previous prime is 65141622266443. The next prime is 65141622266509. The reversal of 65141622266460 is 6466222614156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682222 + ... + 11434538.

It is an arithmetic number, because the mean of its divisors is an integer number (1952029571310).

Almost surely, 265141622266460 is an apocalyptic number.

65141622266460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65141622266460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93697419422880).

65141622266460 is an abundant number, since it is smaller than the sum of its proper divisors (122253216579300).

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

65141622266460 is a wasteful number, since it uses less digits than its factorization.

65141622266460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755095 (or 10755093 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 65141622266460 in words is "sixty-five trillion, one hundred forty-one billion, six hundred twenty-two million, two hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2729 5458 8187 10916 13645 16374 27290 32748 40935 54580 81870 100973 163740 201946 302919 403892 504865 605838 1009730 1211676 1514595 2019460 3029190 6058380 10752317 21504634 32256951 43009268 53761585 64513902 107523170 129027804 161284755 215046340 322569510 397835729 645139020 795671458 1193507187 1591342916 1989178645 2387014374 3978357290 4774028748 5967535935 7956714580 11935071870 23870143740 29343073093 58686146186 88029219279 117372292372 146715365465 176058438558 293430730930 352116877116 440146096395 586861461860 880292192790 1085693704441 1760584385580 2171387408882 3257081113323 4342774817764 5428468522205 6514162226646 10856937044410 13028324453292 16285405566615 21713874088820 32570811133230 65141622266460