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421435970761 = 132499372
BaseRepresentation
bin1100010000111111000…
…10101001010011001001
31111021210121010111210211
412020133202221103021
523401100102031021
6521334403241121
742306401434411
oct6103742512311
91437717114724
10421435970761
11152803689513
12698160791a1
133098367a300
141657d081641
15ae687623e1
hex621f8a94c9

421435970761 has 9 divisors (see below), whose sum is σ = 456356964981. Its totient is φ = 389010028992.

The previous prime is 421435970759. The next prime is 421435970779. The reversal of 421435970761 is 167079534124.

The square root of 421435970761 is 649181.

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

It can be written as a sum of positive squares in 4 ways, for example, as 173571391161 + 247864579600 = 416619^2 + 497860^2 .

It is not a de Polignac number, because 421435970761 - 21 = 421435970759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421435970701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8414385 + ... + 8464321.

Almost surely, 2421435970761 is an apocalyptic number.

421435970761 is the 649181-st square number.

421435970761 is the 324591-st centered octagonal number.

It is an amenable number.

421435970761 is a deficient number, since it is larger than the sum of its proper divisors (34920994220).

421435970761 is an frugal number, since it uses more digits than its factorization.

421435970761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99900 (or 49950 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 421435970761 by its sum of digits (49), we get a square (20650362567289 = 45442672).

The spelling of 421435970761 in words is "four hundred twenty-one billion, four hundred thirty-five million, nine hundred seventy thousand, seven hundred sixty-one".

Divisors: 1 13 169 49937 649181 8439353 2493703969 32418151597 421435970761