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475417145025 = 325243210692
BaseRepresentation
bin1101110101100010001…
…00011110111011000001
31200110010122020021211100
412322301010132323001
530242123242120100
61002223103205013
746230165025254
oct6726104367301
91613118207740
10475417145025
11173694647729
12781802a6769
1335aa7179944
141902042509b
15c5778ae400
hex6eb111eec1

475417145025 has 81 divisors (see below), whose sum is σ = 872604649449. Its totient is φ = 247427490240.

The previous prime is 475417145003. The next prime is 475417145069. The reversal of 475417145025 is 520541714574.

The square root of 475417145025 is 689505.

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

475417145025 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 171 + 450 + 25 = 666.

475417145025 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14300093889 + 461117051136 = 119583^2 + 679056^2 .

It is not a de Polignac number, because 475417145025 - 219 = 475416620737 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 polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 444730191 + ... + 444731259.

Almost surely, 2475417145025 is an apocalyptic number.

475417145025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

475417145025 is the 689505-th square number.

475417145025 is the 344753-rd centered octagonal number.

It is an amenable number.

475417145025 is a deficient number, since it is larger than the sum of its proper divisors (397187504424).

475417145025 is an equidigital number, since it uses as much as digits as its factorization.

475417145025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

Adding to 475417145025 its reverse (520541714574), we get a palindrome (995958859599).

The spelling of 475417145025 in words is "four hundred seventy-five billion, four hundred seventeen million, one hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1069 1075 1849 1935 3207 3225 5345 5547 9245 9621 9675 16035 16641 26725 27735 45967 46225 48105 80175 83205 137901 138675 229835 240525 413703 416025 689505 1142761 1149175 1976581 2068515 3428283 3447525 5713805 5929743 9882905 10284849 10342575 17141415 17789229 28569025 29648715 49138723 49414525 51424245 85707075 88946145 147416169 148243575 245693615 257121225 442248507 444730725 737080845 1228468075 2112965089 2211242535 3685404225 6338895267 10564825445 11056212675 19016685801 31694476335 52824127225 95083429005 158472381675 475417145025