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52951992769 = 1323125712
BaseRepresentation
bin110001010100001011…
…110100100111000001
312001200022111221102101
4301110023310213001
51331421202232034
640154212550401
73553125340444
oct612413644701
9161608457371
1052951992769
11205030239a5
12a319622401
134cbb515c00
1427c47db65b
15159db04514
hexc542f49c1

52951992769 has 27 divisors (see below), whose sum is σ = 59351787747. Its totient is φ = 47219187600.

The previous prime is 52951992763. The next prime is 52951992787. The reversal of 52951992769 is 96729915925.

The square root of 52951992769 is 230113.

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., 7833135025 + 45118857744 = 88505^2 + 212412^2 .

It is not a de Polignac number, because 52951992769 - 227 = 52817775041 is a prime.

It is a super-2 number, since 2×529519927692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52951992769.

It is not an unprimeable number, because it can be changed into a prime (52951992763) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92735254 + ... + 92735824.

It is an arithmetic number, because the mean of its divisors is an integer number (2198214361).

Almost surely, 252951992769 is an apocalyptic number.

52951992769 is the 230113-rd square number.

52951992769 is the 115057-th centered octagonal number.

It is an amenable number.

52951992769 is a deficient number, since it is larger than the sum of its proper divisors (6399794978).

52951992769 is an frugal number, since it uses more digits than its factorization.

52951992769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 615 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 64.

Multiplying 52951992769 by its sum of digits (64), we get a square (3388927537216 = 18409042).

The spelling of 52951992769 in words is "fifty-two billion, nine hundred fifty-one million, nine hundred ninety-two thousand, seven hundred sixty-nine".

Divisors: 1 13 31 169 403 571 961 5239 7423 12493 17701 96499 162409 230113 326041 548731 2991469 4238533 7133503 10107271 55100929 92735539 131394523 313325401 1708128799 4073230213 52951992769