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66612468 = 223133111373
BaseRepresentation
bin1111111000011…
…0110011110100
311122100021010110
43332012303310
5114023044333
610335423020
71436124306
oct376066364
9148307113
1066612468
1134667a2a
121a384a70
1310a53980
148bbd976
155cac063
hex3f86cf4

66612468 has 48 divisors (see below), whose sum is σ = 168045696. Its totient is φ = 20415360.

The previous prime is 66612457. The next prime is 66612473. The reversal of 66612468 is 86421666.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47830 + ... + 49202.

It is an arithmetic number, because the mean of its divisors is an integer number (3500952).

Almost surely, 266612468 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 66612468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022848).

66612468 is an abundant number, since it is smaller than the sum of its proper divisors (101433228).

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

66612468 is a wasteful number, since it uses less digits than its factorization.

66612468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1702 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 66612468 is about 8161.6461574856. The cubic root of 66612468 is about 405.3702208345.

The spelling of 66612468 in words is "sixty-six million, six hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 933 1244 1373 1866 2746 3732 4043 4119 5492 8086 8238 12129 16172 16476 17849 24258 35698 48516 53547 71396 107094 214188 427003 854006 1281009 1708012 2562018 5124036 5551039 11102078 16653117 22204156 33306234 66612468