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166016136 = 23311132612
BaseRepresentation
bin10011110010100…
…11010010001000
3102120101111022210
421321103102020
5320000004021
624250145120
74054054026
oct1171232210
9376344283
10166016136
1185791420
12477221a0
1328518c00
1418097716
15e894e76
hex9e53488

166016136 has 144 divisors (see below), whose sum is σ = 498448080. Its totient is φ = 45676800.

The previous prime is 166016117. The next prime is 166016143. The reversal of 166016136 is 631610661.

It is a super-2 number, since 2×1660161362 = 55122714824740992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2721546 + ... + 2721606.

It is an arithmetic number, because the mean of its divisors is an integer number (3461445).

Almost surely, 2166016136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166016136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249224040).

166016136 is an abundant number, since it is smaller than the sum of its proper divisors (332431944).

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

166016136 is a wasteful number, since it uses less digits than its factorization.

166016136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 166016136 is about 12884.7249097526. The cubic root of 166016136 is about 549.6042729169.

Adding to 166016136 its reverse (631610661), we get a palindrome (797626797).

The spelling of 166016136 in words is "one hundred sixty-six million, sixteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 61 66 78 88 104 122 132 143 156 169 183 244 264 286 312 338 366 429 488 507 572 671 676 732 793 858 1014 1144 1342 1352 1464 1586 1716 1859 2013 2028 2379 2684 3172 3432 3718 3721 4026 4056 4758 5368 5577 6344 7436 7442 8052 8723 9516 10309 11154 11163 14872 14884 16104 17446 19032 20618 22308 22326 26169 29768 30927 34892 40931 41236 44616 44652 48373 52338 61854 69784 81862 82472 89304 96746 104676 113399 122793 123708 145119 163724 193492 209352 226798 245586 247416 290238 327448 340197 386984 453596 491172 532103 580476 628849 680394 907192 982344 1064206 1160952 1257698 1360788 1596309 1886547 2128412 2515396 2721576 3192618 3773094 4256824 5030792 6385236 6917339 7546188 12770472 13834678 15092376 20752017 27669356 41504034 55338712 83008068 166016136