Search a number
-
+
42532112461542 = 231117192590377023
BaseRepresentation
bin10011010101110110001110…
…11101000110111011100110
312120121000211001020122100120
421222323013131012323212
521033321231242232132
6230242552134022410
711646562252615134
oct1152730735067346
9176530731218316
1042532112461542
1112608849746a70
12492b0124a7a06
131a969b7ba3922
14a707cada8754
154db557b3102c
hex26aec7746ee6

42532112461542 has 128 divisors (see below), whose sum is σ = 103432707440640. Its totient is φ = 11491337341440.

The previous prime is 42532112461541. The next prime is 42532112461547. The reversal of 42532112461542 is 24516421123524.

It is a junction number, because it is equal to n+sod(n) for n = 42532112461494 and 42532112461503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532112461541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552161643 + ... + 552238665.

It is an arithmetic number, because the mean of its divisors is an integer number (808068026880).

Almost surely, 242532112461542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42532112461542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716353720320).

42532112461542 is an abundant number, since it is smaller than the sum of its proper divisors (60900594979098).

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

42532112461542 is a wasteful number, since it uses less digits than its factorization.

42532112461542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102978.

The product of its digits is 460800, while the sum is 42.

The spelling of 42532112461542 in words is "forty-two trillion, five hundred thirty-two billion, one hundred twelve million, four hundred sixty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3553 7106 10659 21318 25903 51806 77023 77709 154046 155418 231069 284933 440351 462138 492157 569866 847253 854799 880702 984314 1309391 1321053 1463437 1476471 1694506 1709598 2541759 2618782 2642106 2926874 2952942 3928173 4390311 4843861 5083518 5413727 7856346 8366669 8780622 9687722 10827454 14403301 14531583 16097807 16241181 16733338 24878429 25100007 28806602 29063166 32195614 32482362 43209903 48293421 49756858 50200014 74635287 86419806 92033359 96586842 149270574 184066718 273662719 276100077 547325438 552200154 820988157 1641976314 1995126769 3990253538 5985380307 11970760614 21946394459 33917155073 37907408611 43892788918 65839183377 67834310146 75814817222 101751465219 113722225833 131678366754 203502930438 227444451666 373088705803 416981494721 644425946387 746177411606 833962989442 1119266117409 1250944484163 1288851892774 1933277839161 2238532234818 2501888968326 3866555678322 7088685410257 14177370820514 21266056230771 42532112461542