Search a number
-
+
42832149380500 = 22531071734627751
BaseRepresentation
bin10011011110100101000110…
…00011000111110110010100
312121122201021010122100101111
421233102203003013312110
521103230220220134000
6231032452350304404
712010343406424114
oct1157224303076624
9177581233570344
1042832149380500
1112714015769aa7
1249791a81b8104
131ab909255a86c
14a81130d9b044
154e4268683cba
hex26f4a30c7d94

42832149380500 has 96 divisors (see below), whose sum is σ = 94965469417728. Its totient is φ = 16874627600000.

The previous prime is 42832149380437. The next prime is 42832149380513. The reversal of 42832149380500 is 508394123824.

It is a happy number.

42832149380500 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6941625 + ... + 11569375.

It is an arithmetic number, because the mean of its divisors is an integer number (989223639768).

Almost surely, 242832149380500 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 42832149380500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47482734708864).

42832149380500 is an abundant number, since it is smaller than the sum of its proper divisors (52133320037228).

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

42832149380500 is a wasteful number, since it uses less digits than its factorization.

42832149380500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628050 (or 4628038 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 42832149380500 in words is "forty-two trillion, eight hundred thirty-two billion, one hundred forty-nine million, three hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 125 173 214 250 346 428 500 535 692 865 1070 1730 2140 2675 3460 4325 5350 8650 10700 13375 17300 18511 21625 26750 37022 43250 53500 74044 86500 92555 185110 370220 462775 925550 1851100 2313875 4627750 4627751 9255500 9255502 18511004 23138755 46277510 92555020 115693775 231387550 462775100 495169357 578468875 800600923 990338714 1156937750 1601201846 1980677428 2313875500 2475846785 3202403692 4003004615 4951693570 8006009230 9903387140 12379233925 16012018460 20015023075 24758467850 40030046150 49516935700 61896169625 80060092300 85664298761 100075115375 123792339250 171328597522 200150230750 247584678500 342657195044 400300461500 428321493805 856642987610 1713285975220 2141607469025 4283214938050 8566429876100 10708037345125 21416074690250 42832149380500