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66631404 = 22371983503
BaseRepresentation
bin1111111000101…
…1011011101100
311122101020002210
43332023123230
5114024201104
610340050420
71436233440
oct376133354
9148336083
1066631404
1134680184
121a393a10
1310a5c488
148bc6820
155cb2989
hex3f8b6ec

66631404 has 96 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 17782848.

The previous prime is 66631403. The next prime is 66631427. The reversal of 66631404 is 40413666.

It is a super-2 number, since 2×666314042 = 8879487998022432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66631403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132217 + ... + 132719.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 266631404 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 66631404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

66631404 is an abundant number, since it is smaller than the sum of its proper divisors (123033876).

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

66631404 is a wasteful number, since it uses less digits than its factorization.

66631404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 66631404 is about 8162.8061351474. The cubic root of 66631404 is about 405.4086288758.

The spelling of 66631404 in words is "sixty-six million, six hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 166 228 249 266 332 399 498 503 532 581 798 996 1006 1162 1509 1577 1596 1743 2012 2324 3018 3154 3486 3521 4731 6036 6308 6972 7042 9462 9557 10563 11039 14084 18924 19114 21126 22078 28671 33117 38228 41749 42252 44156 57342 66234 66899 83498 114684 125247 132468 133798 166996 200697 250494 267596 292243 401394 500988 584486 793231 802788 876729 1168972 1586462 1753458 2379693 3172924 3506916 4759386 5552617 9518772 11105234 16657851 22210468 33315702 66631404