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66611328 = 273724781
BaseRepresentation
bin1111111000011…
…0100010000000
311122100012120020
43332012202000
5114023030303
610335413440
71436121060
oct376064200
9148305506
1066611328
1134667093
121a384280
1310a532b4
148bbd3a0
155caba53
hex3f86880

66611328 has 64 divisors (see below), whose sum is σ = 202221120. Its totient is φ = 19031040.

The previous prime is 66611327. The next prime is 66611339. The reversal of 66611328 is 82311666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66611323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9703 + ... + 15078.

It is an arithmetic number, because the mean of its divisors is an integer number (3159705).

Almost surely, 266611328 is an apocalyptic number.

It is an amenable number.

66611328 is an abundant number, since it is smaller than the sum of its proper divisors (135609792).

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

66611328 is a wasteful number, since it uses less digits than its factorization.

66611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24805 (or 24793 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 66611328 is about 8161.5763183346. The cubic root of 66611328 is about 405.3679083311.

The spelling of 66611328 in words is "sixty-six million, six hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 24781 49562 74343 99124 148686 173467 198248 297372 346934 396496 520401 594744 693868 792992 1040802 1189488 1387736 1585984 2081604 2378976 2775472 3171968 4163208 4757952 5550944 8326416 9515904 11101888 16652832 22203776 33305664 66611328