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4492793183641 = 72192159372
BaseRepresentation
bin100000101100000111101…
…0101110111110110011001
3120220111200111000012200021
41001120033111313312121
51042102220023334031
613315543302110441
7642410413646200
oct101301725676631
916814614005607
104492793183641
111482423697294
1260689741b421
1326788cb3a819
1411764936c237
157bd04070511
hex4160f577d99

4492793183641 has 27 divisors (see below), whose sum is σ = 5516202848319. Its totient is φ = 3648054267648.

The previous prime is 4492793183623. The next prime is 4492793183713. The reversal of 4492793183641 is 1463813972944.

It is a happy number.

The square root of 4492793183641 is 2119621.

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., 3150216763225 + 1342576420416 = 1774885^2 + 1158696^2 .

It is not a de Polignac number, because 4492793183641 - 241 = 2293769928089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4492793183641.

It is not an unprimeable number, because it can be changed into a prime (4492793183621) 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, 281901625 + ... + 281917561.

It is an arithmetic number, because the mean of its divisors is an integer number (204303809197).

Almost surely, 24492793183641 is an apocalyptic number.

4492793183641 is the 2119621-st square number.

4492793183641 is the 1059811-st centered octagonal number.

It is an amenable number.

4492793183641 is a deficient number, since it is larger than the sum of its proper divisors (1023409664678).

4492793183641 is an frugal number, since it uses more digits than its factorization.

4492793183641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31926 (or 15963 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 4492793183641 in words is "four trillion, four hundred ninety-two billion, seven hundred ninety-three million, one hundred eighty-three thousand, six hundred forty-one".

Divisors: 1 7 19 49 133 361 931 2527 15937 17689 111559 302803 780913 2119621 5753257 14837347 40272799 253987969 281909593 1777915783 4825771411 12445410481 33780399877 91689656809 236462799139 641827597663 4492793183641