Search a number
-
+
4129166666620 = 22517731035716063
BaseRepresentation
bin111100000101100101100…
…000110010101101111100
3112121202002201120020001201
4330011211200302231330
51020123013131312440
612440525111545244
7604215412363102
oct74054540625574
915552081506051
104129166666620
111352195a33026
1256831568b224
1323c4c0149098
14103bd1c83c72
1572620ab019a
hex3c165832b7c

4129166666620 has 96 divisors (see below), whose sum is σ = 9308573180928. Its totient is φ = 1532971671552.

The previous prime is 4129166666617. The next prime is 4129166666627. The reversal of 4129166666620 is 266666619214.

4129166666620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129166666627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257052709 + ... + 257068771.

It is an arithmetic number, because the mean of its divisors is an integer number (96964303968).

Almost surely, 24129166666620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129166666620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654286590464).

4129166666620 is an abundant number, since it is smaller than the sum of its proper divisors (5179406514308).

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

4129166666620 is a wasteful number, since it uses less digits than its factorization.

4129166666620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26519 (or 26517 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 4129166666620 in words is "four trillion, one hundred twenty-nine billion, one hundred sixty-six million, six hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 1241 1460 2482 4964 6205 10357 12410 16063 20714 24820 32126 41428 51785 64252 80315 103570 160630 176069 207140 273071 321260 352138 546142 704276 756061 880345 1092284 1172599 1365355 1512122 1760690 2345198 2730710 3024244 3521380 3780305 4690396 5461420 5862995 7560610 11725990 12853037 15121220 19934183 23451980 25706074 39868366 51412148 64265185 79736732 99670915 128530370 166364491 199341830 257060740 332728982 398683660 665457964 831822455 1663644910 2828196347 3327289820 5656392694 11312785388 12144607843 14140981735 24289215686 28281963470 48578431372 56563926940 60723039215 121446078430 206458333331 242892156860 412916666662 825833333324 1032291666655 2064583333310 4129166666620