Search a number
-
+
461672505260 = 225233159954049
BaseRepresentation
bin1101011011111011101…
…00110101111110101100
31122010122202021020122022
412231331310311332230
530031001130132020
6552031152005312
745232450355231
oct6557564657654
91563582236568
10461672505260
1116888110340a
1275585230838
13346c67391c5
14184b8c21788
15c020dbd625
hex6b7dd35fac

461672505260 has 96 divisors (see below), whose sum is σ = 1046062080000. Its totient is φ = 170653317120.

The previous prime is 461672505223. The next prime is 461672505263. The reversal of 461672505260 is 62505276164.

It is a super-2 number, since 2×4616725052602 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461672505263) 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, 8514716 + ... + 8568764.

It is an arithmetic number, because the mean of its divisors is an integer number (10896480000).

Almost surely, 2461672505260 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 461672505260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523031040000).

461672505260 is an abundant number, since it is smaller than the sum of its proper divisors (584389574740).

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

461672505260 is a wasteful number, since it uses less digits than its factorization.

461672505260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54711 (or 54709 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 461672505260 in words is "four hundred sixty-one billion, six hundred seventy-two million, five hundred five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 599 620 713 1198 1426 2396 2852 2995 3565 5990 7130 11980 13777 14260 18569 27554 37138 54049 55108 68885 74276 92845 108098 137770 185690 216196 270245 275540 371380 427087 540490 854174 1080980 1243127 1675519 1708348 2135435 2486254 3351038 4270870 4972508 6215635 6702076 8377595 8541740 12431270 16755190 24862540 32375351 33510380 38536937 64750702 77073874 129501404 154147748 161876755 192684685 323753510 385369370 647507020 744633073 770738740 1003635881 1489266146 2007271762 2978532292 3723165365 4014543524 5018179405 7446330730 10036358810 14892661460 20072717620 23083625263 46167250526 92334501052 115418126315 230836252630 461672505260