Search a number
-
+
19535373361 = 724124872
BaseRepresentation
bin10010001100011001…
…100010010000110001
31212102110020210022201
4102030121202100301
5310002023421421
612550250503201
71261050635200
oct221431422061
955373223281
1019535373361
118315233169
123952434b01
131ac435952a
14d346db237
1579508db91
hex48c662431

19535373361 has 27 divisors (see below), whose sum is σ = 23340531627. Its totient is φ = 16302656160.

The previous prime is 19535373359. The next prime is 19535373367. The reversal of 19535373361 is 16337353591.

The square root of 19535373361 is 139769.

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., 941323761 + 18594049600 = 30681^2 + 136360^2 .

It is not a de Polignac number, because 19535373361 - 21 = 19535373359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19535373367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40113460 + ... + 40113946.

Almost surely, 219535373361 is an apocalyptic number.

19535373361 is the 139769-th square number.

19535373361 is the 69885-th centered octagonal number.

It is an amenable number.

19535373361 is a deficient number, since it is larger than the sum of its proper divisors (3805158266).

19535373361 is an frugal number, since it uses more digits than its factorization.

19535373361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 535 counting only the distinct ones).

The product of its digits is 765450, while the sum is 46.

The spelling of 19535373361 in words is "nineteen billion, five hundred thirty-five million, three hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 7 41 49 287 487 1681 2009 3409 11767 19967 23863 82369 139769 237169 818647 978383 1660183 5730529 9723929 11621281 40113703 68067503 398681089 476472521 2790767623 19535373361