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66408012 = 2235116211
BaseRepresentation
bin1111110101010…
…0111001001100
311121221212200000
43331110321030
5114000024022
610331204300
71434313236
oct375247114
9147855600
1066408012
1134538360
121a2a6690
13109b18a8
148b69256
155c6b6ac
hex3f54e4c

66408012 has 72 divisors (see below), whose sum is σ = 189938112. Its totient is φ = 20120400.

The previous prime is 66407989. The next prime is 66408031. The reversal of 66408012 is 21080466.

66408012 is a `hidden beast` number, since 6 + 640 + 8 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587 + ... + 13797.

Almost surely, 266408012 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 66408012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94969056).

66408012 is an abundant number, since it is smaller than the sum of its proper divisors (123530100).

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

66408012 is a wasteful number, since it uses less digits than its factorization.

66408012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 66408012 is about 8149.1111171710. Note that the first 5 decimals coincide. The cubic root of 66408012 is about 404.9550567412.

Adding to 66408012 its reverse (21080466), we get a palindrome (87488478).

The spelling of 66408012 in words is "sixty-six million, four hundred eight thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 6211 10692 12422 18633 24844 37266 55899 68321 74532 111798 136642 167697 204963 223596 273284 335394 409926 503091 614889 670788 819852 1006182 1229778 1509273 1844667 2012364 2459556 3018546 3689334 5534001 6037092 7378668 11068002 16602003 22136004 33204006 66408012