Search a number
-
+
12635243500653 = 3247131768729663
BaseRepresentation
bin1011011111011101111100…
…1100110101010001101101
31122201220202211210111022200
42313313133030311101231
53124003434314010103
642512314542532113
72442603053456214
oct267673714652155
948656684714280
1012635243500653
114031638613044
121500965597039
13708662b49097
1431979883607b
1516da11dbc0a3
hexb7ddf33546d

12635243500653 has 48 divisors (see below), whose sum is σ = 18784585138176. Its totient is φ = 8179998896160.

The previous prime is 12635243500643. The next prime is 12635243500669. The reversal of 12635243500653 is 35600534253621.

12635243500653 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 52 + 43 + 500 + 6 + 53 = 666.

It is not a de Polignac number, because 12635243500653 - 225 = 12635209946221 is a prime.

It is a super-3 number, since 3×126352435006533 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12635243500599 and 12635243500608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635243500643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425944900 + ... + 425974562.

It is an arithmetic number, because the mean of its divisors is an integer number (391345523712).

Almost surely, 212635243500653 is an apocalyptic number.

It is an amenable number.

12635243500653 is a deficient number, since it is larger than the sum of its proper divisors (6149341637523).

12635243500653 is a wasteful number, since it uses less digits than its factorization.

12635243500653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37534 (or 37531 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 12635243500653 in words is "twelve trillion, six hundred thirty-five billion, two hundred forty-three million, five hundred thousand, six hundred fifty-three".

Divisors: 1 3 9 47 131 141 393 423 1179 6157 7687 18471 23061 29663 55413 69183 88989 266967 361289 1006997 1083867 1394161 3020991 3251601 3885853 4182483 9062973 11657559 12547449 34972677 47328859 141986577 182635091 228019481 425959731 547905273 684058443 1643715819 2052175329 10716915607 29870552011 32150746821 89611656033 96452240463 268834968099 1403915944517 4211747833551 12635243500653