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135662501601 = 32111780607547
BaseRepresentation
bin111111001011000011…
…1010111111011100001
3110222011112221010112100
41332112013113323201
54210314100022401
6142153354121013
712541562144244
oct1762607277341
9428145833470
10135662501601
1152596a44420
1222361120169
13ca400737b3
1467cd54325b
1537e0031b86
hex1f961d7ee1

135662501601 has 24 divisors (see below), whose sum is σ = 226345994784. Its totient is φ = 77383244160.

The previous prime is 135662501591. The next prime is 135662501617. The reversal of 135662501601 is 106105266531.

135662501601 is a `hidden beast` number, since 1 + 35 + 6 + 62 + 501 + 60 + 1 = 666.

It is not a de Polignac number, because 135662501601 - 213 = 135662493409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135662501101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40302091 + ... + 40305456.

It is an arithmetic number, because the mean of its divisors is an integer number (9431083116).

Almost surely, 2135662501601 is an apocalyptic number.

135662501601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135662501601 is a deficient number, since it is larger than the sum of its proper divisors (90683493183).

135662501601 is a wasteful number, since it uses less digits than its factorization.

135662501601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80607581 (or 80607578 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 135662501601 in words is "one hundred thirty-five billion, six hundred sixty-two million, five hundred one thousand, six hundred one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 80607547 241822641 725467923 886683017 1370328299 2660049051 4110984897 7980147153 12332954691 15073611289 45220833867 135662501601