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136601295441 = 3132566947527
BaseRepresentation
bin111111100111000010…
…0100101101001010001
3111001120222102210120120
41333032010211221101
54214224412423231
6142430451500453
712604051565442
oct1771604455121
9431528383516
10136601295441
1152a289630a6
12225835b7729
13cb5c700a00
14687c0bb2c9
153847672d96
hex1fce125a51

136601295441 has 24 divisors (see below), whose sum is σ = 197262112320. Its totient is φ = 84045738816.

The previous prime is 136601295437. The next prime is 136601295497. The reversal of 136601295441 is 144592106631.

It is a happy number.

It is not a de Polignac number, because 136601295441 - 22 = 136601295437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136601295393 and 136601295402.

It is not an unprimeable number, because it can be changed into a prime (136601295541) 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, 2850420 + ... + 2897946.

It is an arithmetic number, because the mean of its divisors is an integer number (8219254680).

Almost surely, 2136601295441 is an apocalyptic number.

It is an amenable number.

136601295441 is a deficient number, since it is larger than the sum of its proper divisors (60660816879).

136601295441 is a wasteful number, since it uses less digits than its factorization.

136601295441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53225 (or 53212 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 136601295441 in words is "one hundred thirty-six billion, six hundred one million, two hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 3 13 39 169 507 5669 17007 47527 73697 142581 221091 617851 958061 1853553 2874183 8032063 24096189 269430563 808291689 3502597319 10507791957 45533765147 136601295441