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235209682134 = 232747101393247
BaseRepresentation
bin1101101100001110010…
…1101110110011010110
3211111010011111212020200
43123003211232303112
512323202134312014
6300015343441330
722664500211340
oct3330345566326
9744104455220
10235209682134
119082a808559
12397032b6246
1319245b0a10b
14b5543b0290
1561b9622a09
hex36c396ecd6

235209682134 has 96 divisors (see below), whose sum is σ = 600706768896. Its totient is φ = 65121537600.

The previous prime is 235209682073. The next prime is 235209682139. The reversal of 235209682134 is 431286902532.

235209682134 is a `hidden beast` number, since 2 + 3 + 520 + 96 + 8 + 2 + 1 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 235209682134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235209682139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401499 + ... + 794745.

It is an arithmetic number, because the mean of its divisors is an integer number (6257362176).

Almost surely, 2235209682134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235209682134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300353384448).

235209682134 is an abundant number, since it is smaller than the sum of its proper divisors (365497086762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

235209682134 is a wasteful number, since it uses less digits than its factorization.

235209682134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393410 (or 393407 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 235209682134 in words is "two hundred thirty-five billion, two hundred nine million, six hundred eighty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 101 126 141 202 282 303 329 423 606 658 707 846 909 987 1414 1818 1974 2121 2961 4242 4747 5922 6363 9494 12726 14241 28482 33229 42723 66458 85446 99687 199374 299061 393247 598122 786494 1179741 2359482 2752729 3539223 5505458 7078446 8258187 16516374 18482609 24774561 36965218 39717947 49549122 55447827 79435894 110895654 119153841 129378263 166343481 238307682 258756526 278025629 332686962 357461523 388134789 556051258 714923046 776269578 834076887 1164404367 1668153774 1866743509 2328808734 2502230661 3733487018 5004461322 5600230527 11200461054 13067204563 16800691581 26134409126 33601383162 39201613689 78403227378 117604841067 235209682134