Search a number
-
+
9104431196025 = 3252112182872
BaseRepresentation
bin1000010001111100101001…
…1000110010011101111001
31012020101010110112020210100
42010133022120302131321
52143131333341233100
631210303513310013
71626526202201514
oct204371230623571
935211113466710
109104431196025
1129a0193070400
1210305bb705309
1351070c7358c9
1423692a461d7b
1510bc61963400
hex847ca632779

9104431196025 has 81 divisors (see below), whose sum is σ = 17925255982543. Its totient is φ = 4414028282400.

The previous prime is 9104431196023. The next prime is 9104431196041. The reversal of 9104431196025 is 5206911344019.

The square root of 9104431196025 is 3017355.

It is a perfect power (a square), and thus also a powerful number.

9104431196025 is a `hidden beast` number, since 9 + 1 + 0 + 4 + 4 + 31 + 1 + 9 + 602 + 5 = 666.

9104431196025 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 only one way, i.e., 3277595230569 + 5826835965456 = 1810413^2 + 2413884^2 .

It is not a de Polignac number, because 9104431196025 - 21 = 9104431196023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9104431196023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 497854432 + ... + 497872718.

Almost surely, 29104431196025 is an apocalyptic number.

9104431196025 is the 3017355-th square number.

9104431196025 is the 1508678-th centered octagonal number.

It is an amenable number.

9104431196025 is a deficient number, since it is larger than the sum of its proper divisors (8820824786518).

9104431196025 is an equidigital number, since it uses as much as digits as its factorization.

9104431196025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36612 (or 18306 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9104431196025 in words is "nine trillion, one hundred four billion, four hundred thirty-one million, one hundred ninety-six thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 18287 27225 54861 91435 164583 201157 274305 457175 603471 822915 1005785 1371525 1810413 2212727 3017355 4114575 5028925 6638181 9052065 11063635 15086775 19914543 33190905 45260325 55318175 99572715 165954525 334414369 497863575 1003243107 1672071845 3009729321 3678558059 5016215535 8360359225 11035674177 15048646605 18392790295 25081077675 33107022531 40464138649 55178370885 75243233025 91963951475 121392415947 165535112655 202320693245 275891854425 364177247841 606962079735 827675563275 1011603466225 1820886239205 3034810398675 9104431196025