Search a number
-
+
42474173625 = 3253132904217
BaseRepresentation
bin100111100011101010…
…000111010010111001
311001122002122120122200
4213203222013102321
51143441342024000
631302400540413
73032356342662
oct474352072271
9131562576580
1042474173625
1117016622334
128294621709
13400b83b620
1420ad018369
151188d10500
hex9e3a874b9

42474173625 has 48 divisors (see below), whose sum is σ = 82456557456. Its totient is φ = 20910355200.

The previous prime is 42474173557. The next prime is 42474173641. The reversal of 42474173625 is 52637147424.

42474173625 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 4 + 17 + 3 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8684748864 + 33789424761 = 93192^2 + 183819^2 .

It is not a de Polignac number, because 42474173625 - 29 = 42474173113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1437484 + ... + 1466733.

It is an arithmetic number, because the mean of its divisors is an integer number (1717844947).

Almost surely, 242474173625 is an apocalyptic number.

42474173625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42474173625 is a deficient number, since it is larger than the sum of its proper divisors (39982383831).

42474173625 is a wasteful number, since it uses less digits than its factorization.

42474173625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904251 (or 2904238 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 42474173625 in words is "forty-two billion, four hundred seventy-four million, one hundred seventy-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 2904217 8712651 14521085 26137953 37754821 43563255 72605425 113264463 130689765 188774105 217816275 339793389 363027125 566322315 653448825 943870525 1089081375 1698966945 2831611575 3267244125 4719352625 8494834725 14158057875 42474173625