Search a number
-
+
532735032769 = 173242192
BaseRepresentation
bin1111100000010010111…
…10110111110111000001
31212221002012221200020121
413300021132313313001
532212020132022034
61044422440340241
753326446030562
oct7601136676701
91787065850217
10532735032769
11195a28046095
12872b7a74681
133b310044254
141bada9c0169
15dcce9121b4
hex7c097b7dc1

532735032769 has 9 divisors (see below), whose sum is σ = 535959260643. Its totient is φ = 529530098952.

The previous prime is 532735032763. The next prime is 532735032799. The reversal of 532735032769 is 967230537235.

The square root of 532735032769 is 729887.

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., 484603938225 + 48131094544 = 696135^2 + 219388^2 .

It is not a de Polignac number, because 532735032769 - 23 = 532735032761 is a prime.

It is a super-2 number, since 2×5327350327692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (532735032761) 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, 126268342 + ... + 126272560.

Almost surely, 2532735032769 is an apocalyptic number.

532735032769 is the 729887-th square number.

532735032769 is the 364944-th centered octagonal number.

It is an amenable number.

532735032769 is a deficient number, since it is larger than the sum of its proper divisors (3224227874).

532735032769 is an frugal number, since it uses more digits than its factorization.

532735032769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8784 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 52.

The spelling of 532735032769 in words is "five hundred thirty-two billion, seven hundred thirty-five million, thirty-two thousand, seven hundred sixty-nine".

Divisors: 1 173 4219 29929 729887 17799961 126270451 3079393253 532735032769