Search a number
-
+
21476574432261 = 3213732514526921
BaseRepresentation
bin1001110001000011001111…
…00101110000110000000101
32211001010210101202111121100
410320201213211300300011
510303333011023313021
6113402111352410313
74344426351430404
oct470414745606005
984033711674540
1021476574432261
116930189412693
1224aa3793a6999
13bca303417150
1454368669b63b
152739c58ab626
hex138867970c05

21476574432261 has 24 divisors (see below), whose sum is σ = 33865648585496. Its totient is φ = 13035307553280.

The previous prime is 21476574432241. The next prime is 21476574432289. The reversal of 21476574432261 is 16223447567412.

21476574432261 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 6 + 574 + 4 + 3 + 2 + 2 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6635827520100 + 14840746912161 = 2576010^2 + 3852369^2 .

It is not a de Polignac number, because 21476574432261 - 221 = 21476572335109 is a prime.

It is a super-2 number, since 2×214765744322612 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21476574432198 and 21476574432207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21476574432241) 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 23 ways as a sum of consecutive naturals, for example, 1257254920 + ... + 1257272001.

Almost surely, 221476574432261 is an apocalyptic number.

It is an amenable number.

21476574432261 is a deficient number, since it is larger than the sum of its proper divisors (12389074153235).

21476574432261 is a wasteful number, since it uses less digits than its factorization.

21476574432261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514527013 (or 2514527010 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 21476574432261 in words is "twenty-one trillion, four hundred seventy-six billion, five hundred seventy-four million, four hundred thirty-two thousand, two hundred sixty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 2514526921 7543580763 22630742289 32688849973 98066549919 183560465233 294199649757 550681395699 1652044187097 2386286048029 7158858144087 21476574432261