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135513006827 = 1131641619967
BaseRepresentation
bin111111000110100110…
…1000110001011101011
3110221210010122000020212
41332031031012023223
54210012312204302
6142130454011335
712535065360362
oct1761515061353
9427703560225
10135513006827
115251a617820
122231b046b4b
13ca180c0853
1467b774a7d9
1537d1d52052
hex1f8d3462eb

135513006827 has 16 divisors (see below), whose sum is σ = 152839471104. Its totient is φ = 119033472000.

The previous prime is 135513006817. The next prime is 135513006833. The reversal of 135513006827 is 728600315531.

It is a cyclic number.

It is not a de Polignac number, because 135513006827 - 226 = 135445897963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135513006817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91403 + ... + 528564.

It is an arithmetic number, because the mean of its divisors is an integer number (9552466944).

Almost surely, 2135513006827 is an apocalyptic number.

135513006827 is a deficient number, since it is larger than the sum of its proper divisors (17326464277).

135513006827 is a wasteful number, since it uses less digits than its factorization.

135513006827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620650.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 135513006827 in words is "one hundred thirty-five billion, five hundred thirteen million, six thousand, eight hundred twenty-seven".

Divisors: 1 11 31 341 641 7051 19871 218581 619967 6819637 19218977 211408747 397398847 4371387317 12319364257 135513006827