Search a number
-
+
96536354209 = 157219792
BaseRepresentation
bin101100111101000000…
…0111101110110100001
3100020011210011220110021
41121322000331312201
53040201301313314
6112203113033441
76655155320551
oct1317200756641
9306153156407
1096536354209
1137a39289819
12168619b5881
1391460613a9
14495b047161
1527a010e324
hex167a03dda1

96536354209 has 9 divisors (see below), whose sum is σ = 97204269747. Its totient is φ = 95873003304.

The previous prime is 96536354153. The next prime is 96536354237. The reversal of 96536354209 is 90245363569.

The square root of 96536354209 is 310703.

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., 28296286225 + 68240067984 = 168215^2 + 261228^2 .

It is not a de Polignac number, because 96536354209 - 211 = 96536352161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96536304209) 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, 48779382 + ... + 48781360.

Almost surely, 296536354209 is an apocalyptic number.

96536354209 is the 310703-rd square number.

96536354209 is the 155352-nd centered octagonal number.

It is an amenable number.

96536354209 is a deficient number, since it is larger than the sum of its proper divisors (667915538).

96536354209 is an frugal number, since it uses more digits than its factorization.

96536354209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 52.

The spelling of 96536354209 in words is "ninety-six billion, five hundred thirty-six million, three hundred fifty-four thousand, two hundred nine".

Divisors: 1 157 1979 24649 310703 3916441 48780371 614881237 96536354209