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471530795761 = 17231213032
BaseRepresentation
bin1101101110010010110…
…11001111001011110001
31200002002210101021212201
412313021123033023301
530211143340431021
61000341313223201
746031654430034
oct6671133171361
91602083337781
10471530795761
11171a7a928a33
1277476861b01
1335607c6b1ac
1418b7221701b
15c3eb5d8591
hex6dc96cf2f1

471530795761 has 27 divisors (see below), whose sum is σ = 517976297163. Its totient is φ = 429148157760.

The previous prime is 471530795759. The next prime is 471530795779. The reversal of 471530795761 is 167597035174.

The square root of 471530795761 is 686681.

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., 367108751025 + 104422044736 = 605895^2 + 323144^2 .

It is not a de Polignac number, because 471530795761 - 21 = 471530795759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (471530795731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361880236 + ... + 361881538.

Almost surely, 2471530795761 is an apocalyptic number.

471530795761 is the 686681-st square number.

471530795761 is the 343341-st centered octagonal number.

It is an amenable number.

471530795761 is a deficient number, since it is larger than the sum of its proper divisors (46445501402).

471530795761 is an frugal number, since it uses more digits than its factorization.

471530795761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 471530795761 in words is "four hundred seventy-one billion, five hundred thirty million, seven hundred ninety-five thousand, seven hundred sixty-one".

Divisors: 1 17 31 289 527 961 1303 8959 16337 22151 40393 277729 376567 686681 1252183 1697809 11673577 21287111 28862753 52632079 361880887 490666801 894745343 1631594449 15210670831 27737105633 471530795761