Search a number
-
+
4199331297529 = 292706632
BaseRepresentation
bin111101000110111011101…
…001100111100011111001
3112212110012121200210002101
4331012323221213203321
51022300212303010104
612533051323303401
7612251226040204
oct75067351474371
915773177623071
104199331297529
111379a2104a7a5
12579a3767ab61
13245cc2715c74
1410736a6b293b
157437a8905a4
hex3d1bba678f9

4199331297529 has 9 divisors (see below), whose sum is σ = 4349190632943. Its totient is φ = 4054469391672.

The previous prime is 4199331297481. The next prime is 4199331297569. The reversal of 4199331297529 is 9257921339914.

The square root of 4199331297529 is 2049227.

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., 2202027469929 + 1997303827600 = 1483923^2 + 1413260^2 .

It is not a de Polignac number, because 4199331297529 - 219 = 4199330773241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4199331297569) 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, 59392252 + ... + 59462914.

Almost surely, 24199331297529 is an apocalyptic number.

4199331297529 is the 2049227-th square number.

4199331297529 is the 1024614-th centered octagonal number.

It is an amenable number.

4199331297529 is a deficient number, since it is larger than the sum of its proper divisors (149859335414).

4199331297529 is an frugal number, since it uses more digits than its factorization.

4199331297529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141384 (or 70692 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 64.

Multiplying 4199331297529 by its sum of digits (64), we get a square (268757203041856 = 163938162).

The spelling of 4199331297529 in words is "four trillion, one hundred ninety-nine billion, three hundred thirty-one million, two hundred ninety-seven thousand, five hundred twenty-nine".

Divisors: 1 29 841 70663 2049227 59427583 4993259569 144804527501 4199331297529