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47317125625 = 54721121132
BaseRepresentation
bin101100000100010100…
…100000100111111001
311112010121112000212021
4230010110200213321
51233401141010000
633423122114441
73263363634400
oct540424404771
9145117460767
1047317125625
1119081313900
1292064aba21
134600ca12b3
14240c2b8637
15136e09411a
hexb045209f9

47317125625 has 135 divisors (see below), whose sum is σ = 76277163963. Its totient is φ = 29235360000.

The previous prime is 47317125533. The next prime is 47317125629. The reversal of 47317125625 is 52652171374.

It is a happy number.

The square root of 47317125625 is 217525.

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

It can be written as a sum of positive squares in 7 ways, for example, as 46251233721 + 1065891904 = 215061^2 + 32648^2 .

It is not a de Polignac number, because 47317125625 - 211 = 47317123577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47317125629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 418735569 + ... + 418735681.

Almost surely, 247317125625 is an apocalyptic number.

47317125625 is the 217525-th square number.

47317125625 is the 108763-rd centered octagonal number.

It is an amenable number.

47317125625 is a deficient number, since it is larger than the sum of its proper divisors (28960038338).

47317125625 is an equidigital number, since it uses as much as digits as its factorization.

47317125625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 136 counting only the distinct ones).

The product of its digits is 352800, while the sum is 43.

Adding to 47317125625 its reverse (52652171374), we get a palindrome (99969296999).

The spelling of 47317125625 in words is "forty-seven billion, three hundred seventeen million, one hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 113 121 125 175 245 275 385 539 565 605 625 791 847 875 1225 1243 1375 1925 2695 2825 3025 3955 4235 4375 5537 5929 6125 6215 6875 8701 9625 12769 13475 13673 14125 15125 19775 21175 27685 29645 30625 31075 43505 48125 60907 63845 67375 68365 70625 75625 89383 95711 98875 105875 138425 140459 148225 155375 217525 304535 319225 336875 341825 446915 478555 494375 529375 625681 669977 692125 702295 741125 776875 983213 1087625 1522675 1545049 1596125 1709125 2234575 2392775 3128405 3349885 3460625 3511475 3705625 4916065 5438125 6882491 7613375 7725245 7980625 8545625 10815343 11172875 11963875 15642025 16749425 17557375 24580325 34412455 38066875 38626225 54076715 55864375 59819375 75707401 78210125 83747125 87786875 122901625 172062275 193131125 270383575 378537005 391050625 418735625 614508125 860311375 965655625 1351917875 1892685025 4301556875 6759589375 9463425125 47317125625