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10431239846049 = 32112978712
BaseRepresentation
bin1001011111001011011001…
…0110000111100010100001
31100221012212001002020020100
42113302312112013202201
52331401134400033144
634104013451333013
72124426563506551
oct227626626074241
940835761066210
1010431239846049
113361955a51100
121205789151169
135a887a994869
14280c3627d161
15131519222269
hex97cb65878a1

10431239846049 has 27 divisors (see below), whose sum is σ = 16561797956977. Its totient is φ = 6321898948200.

The previous prime is 10431239846029. The next prime is 10431239846191. The reversal of 10431239846049 is 94064893213401.

The square root of 10431239846049 is 3229743.

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

10431239846049 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 23 + 9 + 8 + 4 + 604 + 9 = 666.

10431239846049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10431239846049 - 225 = 10431206291617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10431239845986 and 10431239846004.

It is not an unprimeable number, because it can be changed into a prime (10431239846029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106532584 + ... + 106630454.

Almost surely, 210431239846049 is an apocalyptic number.

10431239846049 is the 3229743-rd square number.

10431239846049 is the 1614872-nd centered octagonal number.

It is an amenable number.

10431239846049 is a deficient number, since it is larger than the sum of its proper divisors (6130558110928).

10431239846049 is an frugal number, since it uses more digits than its factorization.

10431239846049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195770 (or 97885 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10431239846049 in words is "ten trillion, four hundred thirty-one billion, two hundred thirty-nine million, eight hundred forty-six thousand, forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 97871 293613 880839 1076581 3229743 9689229 11842391 35527173 106581519 9578732641 28736197923 86208593769 105366059051 316098177153 948294531459 1159026649561 3477079948683 10431239846049