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125427205350 = 23352131970439
BaseRepresentation
bin111010011010000001…
…0110100010011100110
3102222202020102012122000
41310310002310103212
54023333331032400
6133342004150130
712030126440346
oct1646402642346
9388666365560
10125427205350
11492144298a7
1220385398346
13ba9b6c1495
1460dc050d26
1533e1696600
hex1d340b44e6

125427205350 has 96 divisors (see below), whose sum is σ = 345888576000. Its totient is φ = 33421422240.

The previous prime is 125427205303. The next prime is 125427205429. The reversal of 125427205350 is 53502724521.

125427205350 is a `hidden beast` number, since 1 + 2 + 54 + 2 + 72 + 0 + 535 + 0 = 666.

It is a super-2 number, since 2×1254272053502 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1745431 + ... + 1815869.

It is an arithmetic number, because the mean of its divisors is an integer number (3603006000).

Almost surely, 2125427205350 is an apocalyptic number.

125427205350 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 125427205350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172944288000).

125427205350 is an abundant number, since it is smaller than the sum of its proper divisors (220461370650).

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

125427205350 is a wasteful number, since it uses less digits than its factorization.

125427205350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71779 (or 71768 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 125427205350 its reverse (53502724521), we get a palindrome (178929929871).

The spelling of 125427205350 in words is "one hundred twenty-five billion, four hundred twenty-seven million, two hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1319 1350 2638 3957 6595 7914 11871 13190 19785 23742 32975 35613 39570 59355 65950 70439 71226 98925 118710 140878 178065 197850 211317 296775 352195 356130 422634 593550 633951 704390 890325 1056585 1267902 1760975 1780650 1901853 2113170 3169755 3521950 3803706 5282925 6339510 9509265 10565850 15848775 19018530 31697550 47546325 92909041 95092650 185818082 278727123 464545205 557454246 836181369 929090410 1393635615 1672362738 2322726025 2508544107 2787271230 4180906845 4645452050 5017088214 6968178075 8361813690 12542720535 13936356150 20904534225 25085441070 41809068450 62713602675 125427205350