Search a number
-
+
145206563553 = 32118113661357
BaseRepresentation
bin1000011100111011111…
…1000101001011100001
3111212210200202201020100
42013032333011023201
54334340340013203
6150412412333013
713330232265612
oct2071677051341
9455720681210
10145206563553
1156644357427
1224185474169
131090146552c
147056cddc09
153b9cd7bea3
hex21cefc52e1

145206563553 has 12 divisors (see below), whose sum is σ = 209920427028. Its totient is φ = 96722400480.

The previous prime is 145206563533. The next prime is 145206563563. The reversal of 145206563553 is 355365602541.

145206563553 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 6 + 5 + 635 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60492386304 + 84714177249 = 245952^2 + 291057^2 .

It is a de Polignac number, because none of the positive numbers 2k-145206563553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145206563499 and 145206563508.

It is not an unprimeable number, because it can be changed into a prime (145206563533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6820050 + ... + 6841307.

It is an arithmetic number, because the mean of its divisors is an integer number (17493368919).

Almost surely, 2145206563553 is an apocalyptic number.

It is an amenable number.

145206563553 is a deficient number, since it is larger than the sum of its proper divisors (64713863475).

145206563553 is a wasteful number, since it uses less digits than its factorization.

145206563553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13662544 (or 13662541 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 145206563553 in words is "one hundred forty-five billion, two hundred six million, five hundred sixty-three thousand, five hundred fifty-three".

Divisors: 1 3 9 1181 3543 10629 13661357 40984071 122952213 16134062617 48402187851 145206563553