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11473623225 = 32523721932
BaseRepresentation
bin10101010111110000…
…11001100010111001
31002121121122110011100
422223320121202321
5141444221420400
65134303322013
7554220121401
oct125370314271
932547573140
1011473623225
114958619a49
1222825b0309
13110b0a598c
147abb5b801
15472447100
hex2abe198b9

11473623225 has 81 divisors (see below), whose sum is σ = 21230967303. Its totient is φ = 5923031040.

The previous prime is 11473623193. The next prime is 11473623251. The reversal of 11473623225 is 52232637411.

The square root of 11473623225 is 107115.

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

11473623225 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 3 + 623 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5250306681 + 6223316544 = 72459^2 + 78888^2 .

It is not a de Polignac number, because 11473623225 - 25 = 11473623193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11473623225.

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, 59448729 + ... + 59448921.

Almost surely, 211473623225 is an apocalyptic number.

11473623225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11473623225 is the 107115-th square number.

11473623225 is the 53558-th centered octagonal number.

It is an amenable number.

11473623225 is a deficient number, since it is larger than the sum of its proper divisors (9757344078).

11473623225 is an equidigital number, since it uses as much as digits as its factorization.

11473623225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Multiplying 11473623225 by its sum of digits (36), we get a square (413050436100 = 6426902).

The spelling of 11473623225 in words is "eleven billion, four hundred seventy-three million, six hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 193 225 333 555 579 925 965 1369 1665 1737 2775 2895 4107 4825 6845 7141 8325 8685 12321 14475 20535 21423 34225 35705 37249 43425 61605 64269 102675 107115 111747 178525 186245 264217 308025 321345 335241 535575 558735 792651 931225 1321085 1378213 1606725 1676205 2377953 2793675 3963255 4134639 6605425 6891065 8381025 11889765 12403917 19816275 20673195 34455325 50993881 59448825 62019585 103365975 152981643 254969405 310097925 458944929 764908215 1274847025 2294724645 3824541075 11473623225