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161666064 = 24337193277
BaseRepresentation
bin10011010001011…
…01010000010000
3102021012111011000
421220231100100
5312341303224
624013022000
74002065430
oct1150552020
9367174130
10161666064
118329011a
1246184900
1327654bc1
14176842c0
15e2d60c9
hex9a2d410

161666064 has 160 divisors (see below), whose sum is σ = 535005440. Its totient is φ = 45785088.

The previous prime is 161666051. The next prime is 161666081. The reversal of 161666064 is 460666161.

It is a super-2 number, since 2×1616660642 = 52271832498504192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583494 + ... + 583770.

It is an arithmetic number, because the mean of its divisors is an integer number (3343784).

Almost surely, 2161666064 is an apocalyptic number.

161666064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267502720).

161666064 is an abundant number, since it is smaller than the sum of its proper divisors (373339376).

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

161666064 is a wasteful number, since it uses less digits than its factorization.

161666064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 161666064 is about 12714.7970491078. The cubic root of 161666064 is about 544.7613510590.

It can be divided in two parts, 1 and 61666064, that added together give a triangular number (61666065 = T11105).

The spelling of 161666064 in words is "one hundred sixty-one million, six hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 193 216 252 277 336 378 386 432 504 554 579 756 772 831 1008 1108 1158 1351 1512 1544 1662 1737 1939 2216 2316 2493 2702 3024 3088 3324 3474 3878 4053 4432 4632 4986 5211 5404 5817 6648 6948 7479 7756 8106 9264 9972 10422 10808 11634 12159 13296 13896 14958 15512 16212 17451 19944 20844 21616 23268 24318 27792 29916 31024 32424 34902 36477 39888 41688 46536 48636 52353 53461 59832 64848 69804 72954 83376 93072 97272 104706 106922 119664 139608 145908 160383 194544 209412 213844 279216 291816 320766 374227 418824 427688 481149 583632 641532 748454 837648 855376 962298 1122681 1283064 1443447 1496908 1924596 2245362 2566128 2886894 2993816 3368043 3849192 4490724 5773788 5987632 6736086 7698384 8981448 10104129 11547576 13472172 17962896 20208258 23095152 26944344 40416516 53888688 80833032 161666064