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35132013189 = 32721315140583
BaseRepresentation
bin100000101110000001…
…111111101010000101
310100200102002011222200
4200232001333222011
51033422243410224
624050040545113
72352414120300
oct405601775205
9110612064880
1035132013189
1113999118549
126985782199
13340b6958b0
1419b3c71b37
15da945a5c9
hex82e07fa85

35132013189 has 72 divisors (see below), whose sum is σ = 63994799232. Its totient is φ = 18407995200.

The previous prime is 35132013181. The next prime is 35132013271. The reversal of 35132013189 is 98131023153.

35132013189 is a `hidden beast` number, since 3 + 513 + 2 + 0 + 131 + 8 + 9 = 666.

It is not a de Polignac number, because 35132013189 - 23 = 35132013181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35132013181) 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 71 ways as a sum of consecutive naturals, for example, 845392 + ... + 885974.

It is an arithmetic number, because the mean of its divisors is an integer number (888816656).

Almost surely, 235132013189 is an apocalyptic number.

35132013189 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

35132013189 is a deficient number, since it is larger than the sum of its proper divisors (28862786043).

35132013189 is a wasteful number, since it uses less digits than its factorization.

35132013189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40767 (or 40757 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 35132013189 in words is "thirty-five billion, one hundred thirty-two million, thirteen thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 151 273 441 453 637 819 1057 1359 1911 1963 3171 5733 5889 7399 9513 13741 17667 22197 40583 41223 66591 96187 121749 123669 284081 288561 365247 527579 852243 865683 1582737 1988567 2556729 3693053 4748211 5965701 6128033 11079159 17897103 18384099 25851371 33237477 42896231 55152297 77554113 79664429 128688693 232662339 238993287 300273617 386066079 557651003 716979861 900820851 1672953009 2702462553 3903557021 5018859027 11710671063 35132013189