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445104642052 = 227197279411223
BaseRepresentation
bin1100111101000100100…
…11011101100000000100
31120112220002220120222001
412132202103131200010
524243033242021202
6540251145115044
744105052014110
oct6364223354004
91515802816861
10445104642052
11161849a6a584
1272320788a84
1332c86129b55
14177866b0740
15b8a1606d87
hex67a24dd804

445104642052 has 96 divisors (see below), whose sum is σ = 940116602880. Its totient is φ = 180131402880.

The previous prime is 445104642013. The next prime is 445104642061. The reversal of 445104642052 is 250246401544.

It is an unprimeable number.

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, 363944313 + ... + 363945535.

It is an arithmetic number, because the mean of its divisors is an integer number (9792881280).

Almost surely, 2445104642052 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 445104642052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470058301440).

445104642052 is an abundant number, since it is smaller than the sum of its proper divisors (495011960828).

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

445104642052 is a wasteful number, since it uses less digits than its factorization.

445104642052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 445104642052 in words is "four hundred forty-five billion, one hundred four million, six hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 727 941 1223 1454 1882 2446 2908 3764 4892 5089 6587 8561 10178 13174 13813 17122 17879 20356 23237 26348 27626 34244 35758 46474 55252 71516 92948 96691 125153 162659 193382 250306 325318 386764 500612 650636 684107 889121 1150843 1368214 1778242 2301686 2736428 3556484 4603372 4788749 6223847 8055901 9577498 12447694 12998033 16111802 16893299 19154996 21866017 24895388 25996066 32223604 33786598 43732034 51992132 67573196 87464068 90986231 118253093 153062119 181972462 236506186 306124238 363944924 473012372 612248476 836662861 1673325722 3346651444 5856640027 11713280054 15896594359 23426560108 31793188718 63586377436 111276160513 222552321026 445104642052