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473405922025 = 522323121932
BaseRepresentation
bin1101110001110010011…
…00010001101011101001
31200020221110202120112121
412320321030101223221
530224013404001100
61001251335511241
746126303641331
oct6707114215351
91606843676477
10473405922025
11172852335063
12778ba828521
13358465a316a
1418cad2880c1
15c4ab03151a
hex6e39311ae9

473405922025 has 81 divisors (see below), whose sum is σ = 637392151557. Its totient is φ = 348756249600.

The previous prime is 473405921999. The next prime is 473405922029. The reversal of 473405922025 is 520229504374.

The square root of 473405922025 is 688045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76137916761 + 397268005264 = 275931^2 + 630292^2 .

It is not a de Polignac number, because 473405922025 - 211 = 473405919977 is a prime.

It is a super-2 number, since 2×4734059220252 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (473405922029) 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, 2452880329 + ... + 2452880521.

Almost surely, 2473405922025 is an apocalyptic number.

473405922025 is the 688045-th square number.

473405922025 is the 344023-rd centered octagonal number.

It is an amenable number.

473405922025 is a deficient number, since it is larger than the sum of its proper divisors (163986229532).

473405922025 is an equidigital number, since it uses as much as digits as its factorization.

473405922025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 473405922025 in words is "four hundred seventy-three billion, four hundred five million, nine hundred twenty-two thousand, twenty-five".

Divisors: 1 5 23 25 31 115 155 193 529 575 713 775 961 965 2645 3565 4439 4805 4825 5983 13225 16399 17825 22103 22195 24025 29915 37249 81995 102097 110515 110975 137609 149575 185473 186245 409975 508369 510485 552575 688045 856727 927365 931225 1154719 2541845 2552425 3165007 3440225 4265879 4283635 4636825 5773595 12709225 15825035 19704721 21329395 21418175 26558537 28867975 35796289 79125175 98115217 98523605 106646975 132792685 178981445 490576085 492618025 610846351 663963425 823314647 894907225 2452880425 3054231755 4116573235 15271158775 18936236881 20582866175 94681184405 473405922025