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164434354143102 = 23243593600804847
BaseRepresentation
bin100101011000110101011011…
…010001000111111101111110
3210120012202210212100102000100
4211120311123101013331332
5133023043024130034402
61341420033251541530
746430663404451541
oct4530653321077576
9716182725312010
10164434354143102
114843724413444a
12165385905ba8a6
13709a1295bb904
142c86945474858
1514024acc2b71c
hex958d5b447f7e

164434354143102 has 48 divisors (see below), whose sum is σ = 370738867150080. Its totient is φ = 52629363629136.

The previous prime is 164434354143091. The next prime is 164434354143181. The reversal of 164434354143102 is 201341453434461.

164434354143102 is a `hidden beast` number, since 1 + 6 + 4 + 434 + 35 + 41 + 43 + 102 = 666.

It is a super-3 number, since 3×1644343541431023 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800356758 + ... + 1800448089.

It is an arithmetic number, because the mean of its divisors is an integer number (7723726398960).

Almost surely, 2164434354143102 is an apocalyptic number.

164434354143102 is an abundant number, since it is smaller than the sum of its proper divisors (206304513006978).

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

164434354143102 is a wasteful number, since it uses less digits than its factorization.

164434354143102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600804957 (or 3600804954 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 164434354143102 in words is "one hundred sixty-four trillion, four hundred thirty-four billion, three hundred fifty-four million, one hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 43 59 86 118 129 177 258 354 387 531 774 1062 2537 5074 7611 15222 22833 45666 3600804847 7201609694 10802414541 21604829082 32407243623 64814487246 154834608421 212447485973 309669216842 424894971946 464503825263 637342457919 929007650526 1274684915838 1393511475789 1912027373757 2787022951578 3824054747514 9135241896839 18270483793678 27405725690517 54811451381034 82217177071551 164434354143102