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665505144 = 2332181223229
BaseRepresentation
bin100111101010101…
…100110101111000
31201101021011102200
4213222230311320
52330332131034
6150012030200
722330462143
oct4752546570
91641234380
10665505144
11311729957
12166a62360
13a7b52535
146455905a
153d65ba99
hex27aacd78

665505144 has 96 divisors (see below), whose sum is σ = 1828444800. Its totient is φ = 218661120.

The previous prime is 665505143. The next prime is 665505151. The reversal of 665505144 is 441505566.

665505144 is a `hidden beast` number, since 6 + 6 + 5 + 505 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 665505099 and 665505108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665505143) 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 23 ways as a sum of consecutive naturals, for example, 2906022 + ... + 2906250.

It is an arithmetic number, because the mean of its divisors is an integer number (19046300).

Almost surely, 2665505144 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 665505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914222400).

665505144 is an abundant number, since it is smaller than the sum of its proper divisors (1162939656).

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

665505144 is a wasteful number, since it uses less digits than its factorization.

665505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 665505144 is about 25797.3863792439. The cubic root of 665505144 is about 873.0728280508.

The spelling of 665505144 in words is "six hundred sixty-five million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 223 229 362 446 458 543 669 687 724 892 916 1086 1338 1374 1448 1629 1784 1832 2007 2061 2172 2676 2748 3258 4014 4122 4344 5352 5496 6516 8028 8244 13032 16056 16488 40363 41449 51067 80726 82898 102134 121089 124347 153201 161452 165796 204268 242178 248694 306402 322904 331592 363267 373041 408536 459603 484356 497388 612804 726534 746082 919206 968712 994776 1225608 1453068 1492164 1838412 2906136 2984328 3676824 9243127 18486254 27729381 36972508 55458762 73945016 83188143 110917524 166376286 221835048 332752572 665505144