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4231632601 = 7292932
BaseRepresentation
bin1111110000111001…
…1001011011011001
3101220220120012122101
43330032121123121
532131244220401
61535522323401
7206602166200
oct37416313331
911826505571
104231632601
111881712229
129a11b9561
13525902b21
142c200c237
1519b77c101
hexfc3996d9

4231632601 has 9 divisors (see below), whose sum is σ = 4923041151. Its totient is φ = 3626723352.

The previous prime is 4231632599. The next prime is 4231632617. The reversal of 4231632601 is 1062361324.

The square root of 4231632601 is 65051.

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., 322382025 + 3909250576 = 17955^2 + 62524^2 .

It is not a de Polignac number, because 4231632601 - 21 = 4231632599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4231632601.

It is not an unprimeable number, because it can be changed into a prime (4231632661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 450711 + ... + 460003.

Almost surely, 24231632601 is an apocalyptic number.

4231632601 is the 65051-st square number.

4231632601 is the 32526-th centered octagonal number.

It is an amenable number.

4231632601 is a deficient number, since it is larger than the sum of its proper divisors (691408550).

4231632601 is an frugal number, since it uses more digits than its factorization.

4231632601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18600 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 4231632601 is about 1617.4690705147.

Multiplying 4231632601 by its product of nonzero digits (5184), we get a square (21936783403584 = 46836722).

Adding to 4231632601 its reverse (1062361324), we get a palindrome (5293993925).

The spelling of 4231632601 in words is "four billion, two hundred thirty-one million, six hundred thirty-two thousand, six hundred one".

Divisors: 1 7 49 9293 65051 455357 86359849 604518943 4231632601