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445315321650 = 235213933763377
BaseRepresentation
bin1100111101011101101…
…11001000111100110010
31120120102210100020001010
412132232313020330302
524244001210243100
6540324112451350
744113220531253
oct6365667107462
91516383306033
10445315321650
11161947987251
127237b249b56
1332cba983134
14177a6672b2a
15b8b4d70750
hex67aedc8f32

445315321650 has 96 divisors (see below), whose sum is σ = 1115645469120. Its totient is φ = 117544734720.

The previous prime is 445315321643. The next prime is 445315321679. The reversal of 445315321650 is 56123513544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 445315321599 and 445315321608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6994762 + ... + 7058138.

It is an arithmetic number, because the mean of its divisors is an integer number (11621306970).

Almost surely, 2445315321650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445315321650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557822734560).

445315321650 is an abundant number, since it is smaller than the sum of its proper divisors (670330147470).

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

445315321650 is a wasteful number, since it uses less digits than its factorization.

445315321650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63868 (or 63863 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 445315321650 in words is "four hundred forty-five billion, three hundred fifteen million, three hundred twenty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 139 150 278 337 417 674 695 834 1011 1390 1685 2022 2085 3370 3475 4170 5055 6950 8425 10110 10425 16850 20850 25275 46843 50550 63377 93686 126754 140529 190131 234215 281058 316885 380262 468430 633770 702645 950655 1171075 1405290 1584425 1901310 2342150 3168850 3513225 4753275 7026450 8809403 9506550 17618806 21358049 26428209 42716098 44047015 52856418 64074147 88094030 106790245 128148294 132141045 213580490 220235075 264282090 320370735 440470150 533951225 640741470 660705225 1067902450 1321410450 1601853675 2968768811 3203707350 5937537622 8906306433 14843844055 17812612866 29687688110 44531532165 74219220275 89063064330 148438440550 222657660825 445315321650