Search a number
-
+
126275998950 = 23452211147769
BaseRepresentation
bin111010110011010100…
…0101101010011100110
3110001221101120101120000
41311212220231103212
54032103123431300
6134002124522130
712060144165303
oct1654650552346
9401841511500
10126275998950
114960a567012
12205816b0346
13bba54c960a
14617ca7c0aa
153440e5ac00
hex1d66a2d4e6

126275998950 has 120 divisors (see below), whose sum is σ = 352525431720. Its totient is φ = 33513782400.

The previous prime is 126275998931. The next prime is 126275998973. The reversal of 126275998950 is 59899572621.

126275998950 is a `hidden beast` number, since 12 + 6 + 27 + 599 + 8 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×1262759989502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 780666 + ... + 928434.

It is an arithmetic number, because the mean of its divisors is an integer number (2937711931).

Almost surely, 2126275998950 is an apocalyptic number.

126275998950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126275998950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176262715860).

126275998950 is an abundant number, since it is smaller than the sum of its proper divisors (226249432770).

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

126275998950 is a wasteful number, since it uses less digits than its factorization.

126275998950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148004 (or 147990 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 126275998950 in words is "one hundred twenty-six billion, two hundred seventy-five million, nine hundred ninety-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 211 225 270 405 422 450 633 675 810 1055 1266 1350 1899 2025 2110 3165 3798 4050 5275 5697 6330 9495 10550 11394 15825 17091 18990 28485 31650 34182 47475 56970 85455 94950 142425 147769 170910 284850 295538 427275 443307 738845 854550 886614 1329921 1477690 2216535 2659842 3694225 3989763 4433070 6649605 7388450 7979526 11082675 11969289 13299210 19948815 22165350 23938578 31179259 33248025 39897630 59846445 62358518 66496050 93537777 99744075 119692890 155896295 187075554 199488150 280613331 299232225 311792590 467688885 561226662 598464450 779481475 841839993 935377770 1403066655 1558962950 1683679986 2338444425 2525519979 2806133310 4209199965 4676888850 5051039958 7015333275 8418399930 12627599895 14030666550 21045999825 25255199790 42091999650 63137999475 126275998950