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9074945376225 = 325247242732
BaseRepresentation
bin1000010000001110110011…
…1001010011111111100001
31012010120000112202102001100
42010003230321103333201
52142140442004014400
631144550010025013
71624433414646351
oct204035471237741
935116015672040
109074945376225
112989732099593
121026950a18169
1350a9c0a4c061
14235330420b61
1510b0d8054100
hex840ece53fe1

9074945376225 has 81 divisors (see below), whose sum is σ = 16611315987513. Its totient is φ = 4735884176640.

The previous prime is 9074945376181. The next prime is 9074945376239. The reversal of 9074945376225 is 5226735494709.

The square root of 9074945376225 is 3012465.

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

9074945376225 is a `hidden beast` number, since 9 + 0 + 7 + 4 + 94 + 537 + 6 + 2 + 2 + 5 = 666.

9074945376225 is digitally balanced in base 2, 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 1246118992209 + 7828826384016 = 1116297^2 + 2798004^2 .

It is not a de Polignac number, because 9074945376225 - 211 = 9074945374177 is a prime.

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, 2123785689 + ... + 2123789961.

Almost surely, 29074945376225 is an apocalyptic number.

9074945376225 is the 3012465-th square number.

9074945376225 is the 1506233-rd centered octagonal number.

It is an amenable number.

9074945376225 is a deficient number, since it is larger than the sum of its proper divisors (7536370611288).

9074945376225 is an frugal number, since it uses more digits than its factorization.

9074945376225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 9074945376225 in words is "nine trillion, seventy-four billion, nine hundred forty-five million, three hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2115 2209 3525 4273 6627 10575 11045 12819 19881 21365 33135 38457 55225 64095 99405 106825 165675 192285 200831 320475 497025 602493 961425 1004155 1807479 3012465 5020775 9037395 9439057 15062325 18258529 28317171 45186975 47195285 54775587 84951513 91292645 141585855 164326761 235976425 273877935 424757565 456463225 707929275 821633805 858150863 1369389675 2123787825 2574452589 4108169025 4290754315 7723357767 12872262945 21453771575 38616788835 40333090561 64361314725 120999271683 193083944175 201665452805 362997815049 604996358415 1008327264025 1814989075245 3024981792075 9074945376225