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136752257631 = 31137227493393
BaseRepresentation
bin111111101011100010…
…0011101101001011111
3111001222111111110202210
41333113010131221133
54220032034221011
6142453443251503
712610564003443
oct1772704355137
9431874443683
10136752257631
1152aa60a2240
1222606079b93
13cb84a78852
146894176823
153855a426a6
hex1fd711da5f

136752257631 has 32 divisors (see below), whose sum is σ = 205188749568. Its totient is φ = 80284746240.

The previous prime is 136752257591. The next prime is 136752257657.

136752257631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136752257631 - 29 = 136752257119 is a prime.

It is a super-2 number, since 2×1367522576312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136752257671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30471 + ... + 523863.

It is an arithmetic number, because the mean of its divisors is an integer number (6412148424).

Almost surely, 2136752257631 is an apocalyptic number.

136752257631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136752257631 is a deficient number, since it is larger than the sum of its proper divisors (68436491937).

136752257631 is a wasteful number, since it uses less digits than its factorization.

136752257631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493671.

The product of its digits is 1587600, while the sum is 48.

The spelling of 136752257631 in words is "one hundred thirty-six billion, seven hundred fifty-two million, two hundred fifty-seven thousand, six hundred thirty-one".

Divisors: 1 3 11 33 37 111 227 407 681 1221 2497 7491 8399 25197 92389 277167 493393 1480179 5427323 16281969 18255541 54766623 112000211 200810951 336000633 602432853 1232002321 3696006963 4144007807 12432023421 45584085877 136752257631