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63104166 = 23237412311
BaseRepresentation
bin1111000010111…
…0010010100110
311101202000122100
43300232102212
5112123313131
610132312530
71364243106
oct360562246
9141660570
1063104166
1132691104
1219172746
13100c5b58
148549206
1558177e6
hex3c2e4a6

63104166 has 48 divisors (see below), whose sum is σ = 143908128. Its totient is φ = 19958400.

The previous prime is 63104159. The next prime is 63104179. The reversal of 63104166 is 66140136.

63104166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26151 + ... + 28461.

It is an arithmetic number, because the mean of its divisors is an integer number (2998086).

Almost surely, 263104166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63104166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71954064).

63104166 is an abundant number, since it is smaller than the sum of its proper divisors (80803962).

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

63104166 is a wasteful number, since it uses less digits than its factorization.

63104166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 63104166 is about 7943.8130642658. The cubic root of 63104166 is about 398.1249029291.

The spelling of 63104166 in words is "sixty-three million, one hundred four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 2311 3034 4551 4622 6933 9102 13653 13866 20799 27306 41598 85507 94751 171014 189502 256521 284253 513042 568506 769563 852759 1539126 1705518 3505787 7011574 10517361 21034722 31552083 63104166