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475681951809 = 3419723892
BaseRepresentation
bin1101110110000001101…
…10101001000001000001
31200110211002111212110000
412323000312221001001
530243144034424214
61002305243030213
746236561606561
oct6730066510101
91613732455400
10475681951809
11173810073a09
1278234b0b369
1335b19ca4a4c
1419047676da1
15c590c6a809
hex6ec0da9041

475681951809 has 45 divisors (see below), whose sum is σ = 716052708217. Its totient is φ = 314700464736.

The previous prime is 475681951769. The next prime is 475681951861. The reversal of 475681951809 is 908159186574.

The square root of 475681951809 is 689697.

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

475681951809 is a `hidden beast` number, since 4 + 7 + 568 + 19 + 51 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60523380225 + 415158571584 = 246015^2 + 644328^2 .

It is not a de Polignac number, because 475681951809 - 231 = 473534468161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (475681951889) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1222832587 + ... + 1222832975.

Almost surely, 2475681951809 is an apocalyptic number.

475681951809 is the 689697-th square number.

475681951809 is the 344849-th centered octagonal number.

It is an amenable number.

475681951809 is a deficient number, since it is larger than the sum of its proper divisors (240370756408).

475681951809 is an frugal number, since it uses more digits than its factorization.

475681951809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 63.

The spelling of 475681951809 in words is "four hundred seventy-five billion, six hundred eighty-one million, nine hundred fifty-one thousand, eight hundred nine".

Divisors: 1 3 9 27 81 197 389 591 1167 1773 3501 5319 10503 15957 31509 38809 76633 116427 151321 229899 349281 453963 689697 1047843 1361889 2069091 3143529 4085667 6207273 12257001 15096701 29810237 45290103 89430711 135870309 268292133 407610927 804876399 1222832781 2414629197 5872616689 17617850067 52853550201 158560650603 475681951809