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166010446104 = 23353601217157
BaseRepresentation
bin1001101010011011111…
…1100110000100011000
3120212111112221110000220
42122212333212010120
510204442133233404
6204133020000040
714664615336456
oct2324677460430
9525445843026
10166010446104
116444a629298
1228210690020
13128685522c9
14806bc819d6
1544b948a4d9
hex26a6fe6118

166010446104 has 64 divisors (see below), whose sum is σ = 423562335840. Its totient is φ = 54202137600.

The previous prime is 166010446061. The next prime is 166010446127. The reversal of 166010446104 is 401644010661.

166010446104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655894 + ... + 873050.

Almost surely, 2166010446104 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 166010446104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211781167920).

166010446104 is an abundant number, since it is smaller than the sum of its proper divisors (257551889736).

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

166010446104 is a wasteful number, since it uses less digits than its factorization.

166010446104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217820 (or 217816 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 166010446104 its reverse (401644010661), we get a palindrome (567654456765).

The spelling of 166010446104 in words is "one hundred sixty-six billion, ten million, four hundred forty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 601 636 1202 1272 1803 2404 3606 4808 7212 14424 31853 63706 95559 127412 191118 217157 254824 382236 434314 651471 764472 868628 1302942 1737256 2605884 5211768 11509321 23018642 34527963 46037284 69055926 92074568 130511357 138111852 261022714 276223704 391534071 522045428 783068142 1044090856 1566136284 3132272568 6917101921 13834203842 20751305763 27668407684 41502611526 55336815368 83005223052 166010446104