Search a number
-
+
542435233005250 = 253131960259145777
BaseRepresentation
bin111101101010101111000101…
…1011000000111111011000010
32122010121022011001000222202021
41323111132023120013323002
51032044224324122132000
65201355150024512054
7222153436513154434
oct17325361330077302
92563538131028667
10542435233005250
11147922543857382
1250a076ba01b62a
131a3895663c6940
1497d40109c8654
1542a9eba24a11a
hex1ed578b607ec2

542435233005250 has 128 divisors (see below), whose sum is σ = 1151131661971200. Its totient is φ = 189738076492800.

The previous prime is 542435233005229. The next prime is 542435233005283. The reversal of 542435233005250 is 52500332534245.

It is a junction number, because it is equal to n+sod(n) for n = 542435233005197 and 542435233005206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3720920362 + ... + 3721066138.

It is an arithmetic number, because the mean of its divisors is an integer number (8993216109150).

Almost surely, 2542435233005250 is an apocalyptic number.

542435233005250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

542435233005250 is an abundant number, since it is smaller than the sum of its proper divisors (608696428965950).

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

542435233005250 is a wasteful number, since it uses less digits than its factorization.

542435233005250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206085 (or 206075 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 43.

Adding to 542435233005250 its reverse (52500332534245), we get a palindrome (594935565539495).

The spelling of 542435233005250 in words is "five hundred forty-two trillion, four hundred thirty-five billion, two hundred thirty-three million, five thousand, two hundred fifty".

Divisors: 1 2 5 10 13 19 25 26 38 50 65 95 125 130 190 247 250 325 475 494 650 950 1235 1625 2375 2470 3250 4750 6175 12350 30875 60259 61750 120518 145777 291554 301295 602590 728885 783367 1144921 1457770 1506475 1566734 1895101 2289842 2769763 3012950 3644425 3790202 3916835 5539526 5724605 7288850 7532375 7833670 9475505 11449210 13848815 14883973 15064750 18222125 18951010 19584175 27697630 28623025 29767946 36006919 36444250 39168350 47377525 57246050 69244075 72013838 74419865 94755050 97920875 138488150 143115125 148839730 180034595 195841750 236887625 286230250 346220375 360069190 372099325 473775250 692440750 744198650 900172975 1800345950 1860496625 3720993250 4500864875 8784376243 9001729750 17568752486 43921881215 87843762430 114196891159 166903148617 219609406075 228393782318 333806297234 439218812150 570984455795 834515743085 1098047030375 1141968911590 1669031486170 2169740932021 2196094060750 2854922278975 4172578715425 4339481864042 5709844557950 8345157430850 10848704660105 14274611394875 20862893577125 21697409320210 28549222789750 41725787154250 54243523300525 108487046601050 271217616502625 542435233005250