Search a number
-
+
11551735441 = 23246732
BaseRepresentation
bin10101100001000100…
…10111111010010001
31002211001121221222101
422300202113322101
5142124221013231
65150133440401
7556156062661
oct126042277221
932731557871
1011551735441
1149987208a4
1222a47a0101
131121324a1c
147b82921a1
15479226661
hex2b0897e91

11551735441 has 9 divisors (see below), whose sum is σ = 12078406459. Its totient is φ = 11047121536.

The previous prime is 11551735379. The next prime is 11551735451. The reversal of 11551735441 is 14453715511.

The square root of 11551735441 is 107479.

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., 11072300625 + 479434816 = 105225^2 + 21896^2 .

It is not a de Polignac number, because 11551735441 - 223 = 11543346833 is a prime.

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 11551735441.

It is not an unprimeable number, because it can be changed into a prime (11551735451) 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, 2469681 + ... + 2474353.

Almost surely, 211551735441 is an apocalyptic number.

11551735441 is the 107479-th square number.

11551735441 is the 53740-th centered octagonal number.

It is an amenable number.

11551735441 is a deficient number, since it is larger than the sum of its proper divisors (526671018).

11551735441 is an frugal number, since it uses more digits than its factorization.

11551735441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 4696 counting only the distinct ones).

The product of its digits is 42000, while the sum is 37.

The spelling of 11551735441 in words is "eleven billion, five hundred fifty-one million, seven hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 23 529 4673 107479 2472017 21836929 502249367 11551735441