Search a number
-
+
124605470025 = 325210122332
BaseRepresentation
bin111010000001100010…
…0001001010101001001
3102220121222011201200100
41310003010021111021
54020143000020100
6133124251400013
712000561006501
oct1640304112511
9386558151610
10124605470025
11489325a29a3
1220196153009
13b99a39b36a
146060c68a01
153394479400
hex1d03109549

124605470025 has 81 divisors (see below), whose sum is σ = 226385439007. Its totient is φ = 65515872000.

The previous prime is 124605470023. The next prime is 124605470051. The reversal of 124605470025 is 520074506421.

It is a happy number.

The square root of 124605470025 is 352995.

It is a perfect power (a square), and thus also a powerful number.

124605470025 is a `hidden beast` number, since 1 + 2 + 4 + 605 + 47 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 46737683721 + 77867786304 = 216189^2 + 279048^2 .

It is not a de Polignac number, because 124605470025 - 21 = 124605470023 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124605470023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 534787309 + ... + 534787541.

Almost surely, 2124605470025 is an apocalyptic number.

124605470025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

124605470025 is the 352995-th square number.

124605470025 is the 176498-th centered octagonal number.

It is an amenable number.

124605470025 is a deficient number, since it is larger than the sum of its proper divisors (101779968982).

124605470025 is an equidigital number, since it uses as much as digits as its factorization.

124605470025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 124605470025 by its sum of digits (36), we get a square (4485796920900 = 21179702).

Adding to 124605470025 its reverse (520074506421), we get a palindrome (644679976446).

The spelling of 124605470025 in words is "one hundred twenty-four billion, six hundred five million, four hundred seventy thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 233 303 505 699 909 1165 1515 2097 2525 3495 4545 5825 7575 10201 10485 17475 22725 23533 30603 51005 52425 54289 70599 91809 117665 153015 162867 211797 255025 271445 352995 459045 488601 588325 765075 814335 1058985 1357225 1764975 2295225 2376833 2443005 4071675 5294925 5483189 7130499 11884165 12215025 16449567 21391497 27415945 35652495 49348701 59420825 82247835 106957485 137079725 178262475 246743505 411239175 534787425 553802089 1233717525 1661406267 2769010445 4984218801 8307031335 13845052225 24921094005 41535156675 124605470025