Search a number
-
+
466042382130 = 2351329311329233
BaseRepresentation
bin1101100100000100100…
…10100110011100110010
31122112221021221222202210
412302002102212130302
530113423322212010
6554032533352550
745445651613103
oct6620222463462
91575837858683
10466042382130
1116a7138585a6
12763a4798756
1334c41b83170
14187b13383aa
15c1c9856b20
hex6c824a6732

466042382130 has 128 divisors (see below), whose sum is σ = 1286273157120. Its totient is φ = 107189268480.

The previous prime is 466042382089. The next prime is 466042382147. The reversal of 466042382130 is 31283240664.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314007 + ... + 1015226.

It is an arithmetic number, because the mean of its divisors is an integer number (10049009040).

Almost surely, 2466042382130 is an apocalyptic number.

466042382130 is an abundant number, since it is smaller than the sum of its proper divisors (820230774990).

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

466042382130 is a wasteful number, since it uses less digits than its factorization.

466042382130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329316.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 466042382130 in words is "four hundred sixty-six billion, forty-two million, three hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 31 39 58 62 65 78 87 93 130 145 155 174 186 195 290 310 377 390 403 435 465 754 806 870 899 930 1131 1209 1798 1885 2015 2262 2418 2697 3770 4030 4495 5394 5655 6045 8990 11310 11687 12090 13485 23374 26970 35061 58435 70122 116870 175305 350610 1329233 2658466 3987699 6646165 7975398 13292330 17280029 19938495 34560058 38547757 39876990 41206223 51840087 77095514 82412446 86400145 103680174 115643271 123618669 172800290 192738785 206031115 231286542 247237338 259200435 385477570 412062230 501120841 518400870 535680899 578216355 618093345 1002241682 1071361798 1156432710 1194980467 1236186690 1503362523 1607042697 2389960934 2505604205 2678404495 3006725046 3214085394 3584941401 5011208410 5356808990 5974902335 7169882802 7516812615 8035213485 11949804670 15033625230 15534746071 16070426970 17924707005 31069492142 35849414010 46604238213 77673730355 93208476426 155347460710 233021191065 466042382130