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125808258132 = 22346733117509
BaseRepresentation
bin111010100101011000…
…0011010110001010100
3110000201210102200210000
41311022300122301110
54030123403230012
6133443455331300
712042434356404
oct1651260326124
9400653380700
10125808258132
114939a533457
1220470b20b30
13bb2c62a8bb
1461368c2804
153414d65ddc
hex1d4ac1ac54

125808258132 has 120 divisors (see below), whose sum is σ = 334823978720. Its totient is φ = 41183017920.

The previous prime is 125808258131. The next prime is 125808258137. The reversal of 125808258132 is 231852808521.

125808258132 is a `hidden beast` number, since 1 + 2 + 580 + 8 + 2 + 58 + 13 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125808258131) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 7176594 + ... + 7194102.

Almost surely, 2125808258132 is an apocalyptic number.

125808258132 is a gapful number since it is divisible by the number (12) 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 125808258132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167411989360).

125808258132 is an abundant number, since it is smaller than the sum of its proper divisors (209015720588).

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

125808258132 is a wasteful number, since it uses less digits than its factorization.

125808258132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17923 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 125808258132 in words is "one hundred twenty-five billion, eight hundred eight million, two hundred fifty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 331 402 603 662 804 993 1206 1324 1809 1986 2412 2979 3618 3972 5427 5958 7236 8937 10854 11916 17509 17874 21708 22177 26811 35018 35748 44354 52527 53622 66531 70036 88708 105054 107244 133062 157581 199593 210108 266124 315162 399186 472743 598779 630324 798372 945486 1173103 1197558 1418229 1796337 1890972 2346206 2395116 2836458 3519309 3592674 4692412 5672916 5795479 7038618 7185348 10557927 11590958 14077236 17386437 21115854 23181916 31673781 34772874 42231708 52159311 63347562 69545748 95021343 104318622 126695124 156477933 190042686 208637244 312955866 380085372 388297093 469433799 625911732 776594186 938867598 1164891279 1553188372 1877735196 2329782558 3494673837 4659565116 6989347674 10484021511 13978695348 20968043022 31452064533 41936086044 62904129066 125808258132