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474466104225 = 3452153072
BaseRepresentation
bin1101110011110000110…
…00100011001110100001
31200100200100200102010000
412321320120203032201
530233201310313400
61001544451130213
746164466225461
oct6717030431641
91610610612100
10474466104225
111732468236a3
1277b558a3969
13359851221c9
1418d6ddbdba1
15c51e14e600
hex6e786233a1

474466104225 has 45 divisors (see below), whose sum is σ = 878932658307. Its totient is φ = 253032057360.

The previous prime is 474466104191. The next prime is 474466104227. The reversal of 474466104225 is 522401664474.

It is a happy number.

The square root of 474466104225 is 688815.

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

474466104225 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 6 + 610 + 4 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170807797521 + 303658306704 = 413289^2 + 551052^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 474466104225 - 213 = 474466096033 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (474466104227) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 30989022 + ... + 31004328.

Almost surely, 2474466104225 is an apocalyptic number.

474466104225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

474466104225 is the 688815-th square number.

474466104225 is the 344408-th centered octagonal number.

It is an amenable number.

474466104225 is a deficient number, since it is larger than the sum of its proper divisors (404466554082).

474466104225 is an frugal number, since it uses more digits than its factorization.

474466104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30636 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Adding to 474466104225 its reverse (522401664474), we get a palindrome (996867768699).

The spelling of 474466104225 in words is "four hundred seventy-four billion, four hundred sixty-six million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 15307 45921 76535 137763 229605 382675 413289 688815 1148025 1239867 2066445 3444075 6199335 10332225 30996675 234304249 702912747 1171521245 2108738241 3514563735 5857606225 6326214723 10543691205 17572818675 18978644169 31631073615 52718456025 94893220845 158155368075 474466104225