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36896148081 = 341335039077
BaseRepresentation
bin100010010111001011…
…101000101001110001
310112020100121112010000
4202113023220221301
51101030403214311
624541100300213
72444215040562
oct422713505161
9115210545100
1036896148081
1114713a06171
127198541669
1336300091b0
141b00290169
15e5e27c056
hex8972e8a71

36896148081 has 20 divisors (see below), whose sum is σ = 59356198132. Its totient is φ = 22705321248.

The previous prime is 36896148041. The next prime is 36896148109. The reversal of 36896148081 is 18084169863.

36896148081 is a `hidden beast` number, since 3 + 6 + 89 + 6 + 1 + 480 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9888512481 + 27007635600 = 99441^2 + 164340^2 .

It is not a de Polignac number, because 36896148081 - 215 = 36896115313 is a prime.

It is a super-2 number, since 2×368961480812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36896148031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17518486 + ... + 17520591.

Almost surely, 236896148081 is an apocalyptic number.

It is an amenable number.

36896148081 is a deficient number, since it is larger than the sum of its proper divisors (22460050051).

36896148081 is a wasteful number, since it uses less digits than its factorization.

36896148081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35039102 (or 35039093 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 36896148081 in words is "thirty-six billion, eight hundred ninety-six million, one hundred forty-eight thousand, eighty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 35039077 105117231 315351693 455508001 946055079 1366524003 2838165237 4099572009 12298716027 36896148081