Search a number
-
+
42554300000 = 25551922397
BaseRepresentation
bin100111101000011011…
…110001011001100000
311001211200102102101012
4213220123301121200
51144122400100000
631314342200052
73034351403402
oct475033613140
9131750372335
1042554300000
111705787a483
1282b7423028
134022314394
1420b9914b72
151190d8b735
hex9e86f1660

42554300000 has 144 divisors (see below), whose sum is σ = 110233100880. Its totient is φ = 16125120000.

The previous prime is 42554299987. The next prime is 42554300027. The reversal of 42554300000 is 345524.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1888802 + ... + 1911198.

It is an arithmetic number, because the mean of its divisors is an integer number (765507645).

Almost surely, 242554300000 is an apocalyptic number.

42554300000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42554300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55116550440).

42554300000 is an abundant number, since it is smaller than the sum of its proper divisors (67678800880).

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

42554300000 is an equidigital number, since it uses as much as digits as its factorization.

42554300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22451 (or 22423 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 42554300000 its reverse (345524), we get a palindrome (42554645524).

The spelling of 42554300000 in words is "forty-two billion, five hundred fifty-four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3125 3800 4000 4750 5000 6250 7600 9500 10000 11875 12500 15200 19000 20000 22397 23750 25000 38000 44794 47500 50000 59375 76000 89588 95000 100000 111985 118750 179176 190000 223970 237500 358352 380000 425543 447940 475000 559925 716704 851086 895880 950000 1119850 1702172 1791760 1900000 2127715 2239700 2799625 3404344 3583520 4255430 4479400 5599250 6808688 8510860 8958800 10638575 11198500 13617376 13998125 17021720 17917600 21277150 22397000 27996250 34043440 42554300 44794000 53192875 55992500 68086880 69990625 85108600 89588000 106385750 111985000 139981250 170217200 212771500 223970000 265964375 279962500 340434400 425543000 447940000 531928750 559925000 851086000 1063857500 1119850000 1329821875 1702172000 2127715000 2239700000 2659643750 4255430000 5319287500 8510860000 10638575000 21277150000 42554300000