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466430263849 = 11247213212
BaseRepresentation
bin1101100100110010110…
…10010000001000101001
31122120221022211102110101
412302121122100020221
530120222121420344
6554135231145401
745461401553434
oct6623132201051
91576838742411
10466430263849
1116a8a27a6900
1276492675261
1334ca4340984
141880aa6681b
15c1ed9249d4
hex6c99690229

466430263849 has 27 divisors (see below), whose sum is σ = 524224991703. Its totient is φ = 414691490400.

The previous prime is 466430263811. The next prime is 466430263853. The reversal of 466430263849 is 948362034664.

The square root of 466430263849 is 682957.

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

It can be written as a sum of positive squares in only one way, i.e., 431789609449 + 34640654400 = 657107^2 + 186120^2 .

It is not a de Polignac number, because 466430263849 - 27 = 466430263721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 466430263849.

It is not an unprimeable number, because it can be changed into a prime (466430263349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 353088109 + ... + 353089429.

Almost surely, 2466430263849 is an apocalyptic number.

466430263849 is the 682957-th square number.

466430263849 is the 341479-th centered octagonal number.

It is an amenable number.

466430263849 is a deficient number, since it is larger than the sum of its proper divisors (57794727854).

466430263849 is an frugal number, since it uses more digits than its factorization.

466430263849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 55.

The spelling of 466430263849 in words is "four hundred sixty-six billion, four hundred thirty million, two hundred sixty-three thousand, eight hundred forty-nine".

Divisors: 1 11 47 121 517 1321 2209 5687 14531 24299 62087 159841 267289 682957 1745041 2918089 7512527 19195451 32098979 82016927 211149961 353088769 902186197 3854795569 9924048167 42402751259 466430263849