Search a number
-
+
10453431636 = 22321303722273
BaseRepresentation
bin10011011110001001…
…01011010101010100
3222222111222100101200
421233010223111110
5132402034303021
64445141152500
7520021463034
oct115704532524
928874870350
1010453431636
1144847649aa
1220389bb730
13ca791910b
147124758c4
15412ac8126
hex26f12b554

10453431636 has 36 divisors (see below), whose sum is σ = 26427165492. Its totient is φ = 3484053504.

The previous prime is 10453431629. The next prime is 10453431649. The reversal of 10453431636 is 63613435401.

10453431636 is a `hidden beast` number, since 1 + 0 + 453 + 43 + 163 + 6 = 666.

10453431636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2462144400 + 7991287236 = 49620^2 + 89394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10453431636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 458196 + ... + 480468.

Almost surely, 210453431636 is an apocalyptic number.

It is an amenable number.

10453431636 is an abundant number, since it is smaller than the sum of its proper divisors (15973733856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10453431636 is a wasteful number, since it uses less digits than its factorization.

10453431636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35320 (or 35315 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10453431636 in words is "ten billion, four hundred fifty-three million, four hundred thirty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 13037 22273 26074 39111 44546 52148 66819 78222 89092 117333 133638 156444 200457 234666 267276 400914 469332 801828 290373101 580746202 871119303 1161492404 1742238606 2613357909 3484477212 5226715818 10453431636