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135247759245 = 3253005505761
BaseRepresentation
bin111110111110101100…
…1010000011110001101
3110221002122112000222100
41331331121100132031
54203441411243440
6142044300505313
712525364661664
oct1757531203615
9427078460870
10135247759245
11523a391a345
122226624b239
13c9a516cc11
146790421ddb
1537b890a230
hex1f7d65078d

135247759245 has 12 divisors (see below), whose sum is σ = 234429449436. Its totient is φ = 72132138240.

The previous prime is 135247759193. The next prime is 135247759247. The reversal of 135247759245 is 542957742531.

135247759245 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 7 + 7 + 592 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86635446921 + 48612312324 = 294339^2 + 220482^2 .

It is not a de Polignac number, because 135247759245 - 210 = 135247758221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135247759191 and 135247759200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135247759247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502752836 + ... + 1502752925.

It is an arithmetic number, because the mean of its divisors is an integer number (19535787453).

Almost surely, 2135247759245 is an apocalyptic number.

135247759245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135247759245 is a deficient number, since it is larger than the sum of its proper divisors (99181690191).

135247759245 is a wasteful number, since it uses less digits than its factorization.

135247759245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005505772 (or 3005505769 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 135247759245 in words is "one hundred thirty-five billion, two hundred forty-seven million, seven hundred fifty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 3005505761 9016517283 15027528805 27049551849 45082586415 135247759245