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4675389930225 = 325272205932
BaseRepresentation
bin100010000001001001011…
…1101001011101011110001
3121112221222222000000120100
41010002102331023223301
51103100144310231400
613535502224103013
7661533343460100
oct104022275135361
917487888000510
104675389930225
111542904801623
12636156764a69
1327bb6c7561c1
1412240bda0037
158193e715100
hex44092f4baf1

4675389930225 has 81 divisors (see below), whose sum is σ = 9741822913953. Its totient is φ = 2137217322240.

The previous prime is 4675389930203. The next prime is 4675389930227. The reversal of 4675389930225 is 5220399835764.

The square root of 4675389930225 is 2162265.

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

4675389930225 is a `hidden beast` number, since 4 + 6 + 7 + 538 + 9 + 93 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 981936319329 + 3693453610896 = 990927^2 + 1921836^2 .

It is not a de Polignac number, because 4675389930225 - 211 = 4675389928177 is a prime.

It is a super-4 number, since 4×46753899302254 (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4675389930227) 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, 227027529 + ... + 227048121.

Almost surely, 24675389930225 is an apocalyptic number.

4675389930225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4675389930225 is the 2162265-th square number.

4675389930225 is the 1081133-rd centered octagonal number.

It is an amenable number.

4675389930225 is an abundant number, since it is smaller than the sum of its proper divisors (5066432983728).

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

4675389930225 is an frugal number, since it uses more digits than its factorization.

4675389930225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41216 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 4675389930225 in words is "four trillion, six hundred seventy-five billion, three hundred eighty-nine million, nine hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 20593 61779 102965 144151 185337 308895 432453 514825 720755 926685 1009057 1297359 1544475 2162265 3027171 3603775 4633425 5045285 6486795 9081513 10811325 15135855 25226425 32433975 45407565 75679275 227037825 424071649 1272214947 2120358245 2968501543 3816644841 6361074735 8905504629 10601791225 14842507715 19083224205 20779510801 26716513887 31805373675 44527523145 62338532403 74212538575 95416121025 103897554005 133582569435 187015597209 222637615725 311692662015 519487770025 667912847175 935077986045 1558463310075 4675389930225