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164055474 = 232111724761
BaseRepresentation
bin10011100011101…
…00100110110010
3102102200212210200
421301310212302
5313444233344
624140140030
74031306562
oct1161644662
9372625720
10164055474
1184672340
1246b37616
1327cb065b
1417b06da2
15e609069
hex9c749b2

164055474 has 144 divisors (see below), whose sum is σ = 427579776. Its totient is φ = 45043200.

The previous prime is 164055467. The next prime is 164055487. The reversal of 164055474 is 474550461.

164055474 is a `hidden beast` number, since 1 + 640 + 5 + 5 + 4 + 7 + 4 = 666.

164055474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2689404 + ... + 2689464.

It is an arithmetic number, because the mean of its divisors is an integer number (2969304).

Almost surely, 2164055474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164055474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213789888).

164055474 is an abundant number, since it is smaller than the sum of its proper divisors (263524302).

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

164055474 is a wasteful number, since it uses less digits than its factorization.

164055474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 164055474 is about 12808.4141875566. The cubic root of 164055474 is about 547.4320776439.

The spelling of 164055474 in words is "one hundred sixty-four million, fifty-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 47 51 61 66 94 99 102 122 141 153 183 187 198 282 289 306 366 374 423 517 549 561 578 671 799 846 867 1034 1037 1098 1122 1342 1551 1598 1683 1734 2013 2074 2397 2601 2867 3102 3111 3179 3366 4026 4653 4794 5202 5734 6039 6222 6358 7191 8601 8789 9306 9333 9537 11407 12078 13583 14382 17202 17578 17629 18666 19074 22814 25803 26367 27166 28611 31537 34221 35258 40749 48739 51606 52734 52887 57222 63074 68442 79101 81498 94611 97478 102663 105774 122247 146217 149413 158202 158661 189222 193919 205326 244494 283833 292434 298826 317322 387838 438651 448239 536129 567666 581757 828563 877302 896478 1072258 1163514 1344717 1608387 1657126 1745271 2485689 2689434 3216774 3490542 4825161 4971378 7457067 9114193 9650322 14914134 18228386 27342579 54685158 82027737 164055474