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36434152161 = 3311313957223
BaseRepresentation
bin100001111011101001…
…010000101011100001
310111001011021200212000
4201323221100223201
51044104120332121
624423154154213
72426605116651
oct417351205341
9114034250760
1036434152161
11144a7146860
127089882969
13358839c324
141a98b8c361
15e3391e526
hex87ba50ae1

36434152161 has 32 divisors (see below), whose sum is σ = 60782960640. Its totient is φ = 21368998800.

The previous prime is 36434152159. The next prime is 36434152211. The reversal of 36434152161 is 16125143463.

36434152161 is a `hidden beast` number, since 3 + 6 + 434 + 1 + 5 + 216 + 1 = 666.

It is not a de Polignac number, because 36434152161 - 21 = 36434152159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36434152141) 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 31 ways as a sum of consecutive naturals, for example, 1969405 + ... + 1987818.

It is an arithmetic number, because the mean of its divisors is an integer number (1899467520).

Almost surely, 236434152161 is an apocalyptic number.

36434152161 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

36434152161 is a deficient number, since it is larger than the sum of its proper divisors (24348808479).

36434152161 is a wasteful number, since it uses less digits than its factorization.

36434152161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957274 (or 3957268 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 36434152161 in words is "thirty-six billion, four hundred thirty-four million, one hundred fifty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 3957223 11871669 35615007 43529453 106845021 122673913 130588359 368021739 391765077 1104065217 1175295231 1349413043 3312195651 4048239129 12144717387 36434152161