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445666993416 = 233210775177029
BaseRepresentation
bin1100111110000111101…
…00101010010100001000
31120121100022002000000100
412133003310222110020
524300211222242131
6540423034205400
744125020640341
oct6370364522410
91517308060010
10445666993416
11162008443477
1272458b83860
13330457a3238
14177db2570c8
15b8d5b897e6
hex67c3d2a508

445666993416 has 96 divisors (see below), whose sum is σ = 1219933353600. Its totient is φ = 146969424000.

The previous prime is 445666993399. The next prime is 445666993477. The reversal of 445666993416 is 614399666544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5747190 + ... + 5824218.

It is an arithmetic number, because the mean of its divisors is an integer number (12707639100).

Almost surely, 2445666993416 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 445666993416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609966676800).

445666993416 is an abundant number, since it is smaller than the sum of its proper divisors (774266360184).

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

445666993416 is a wasteful number, since it uses less digits than its factorization.

445666993416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77899 (or 77892 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 445666993416 in words is "four hundred forty-five billion, six hundred sixty-six million, nine hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 751 856 963 1284 1502 1926 2253 2568 3004 3852 4506 6008 6759 7704 9012 13518 18024 27036 54072 77029 80357 154058 160714 231087 241071 308116 321428 462174 482142 616232 642856 693261 723213 924348 964284 1386522 1446426 1848696 1928568 2773044 2892852 5546088 5785704 8242103 16484206 24726309 32968412 49452618 57848779 65936824 74178927 98905236 115697558 148357854 173546337 197810472 231395116 296715708 347092674 462790232 520639011 593431416 694185348 1041278022 1388370696 2082556044 4165112088 6189819353 12379638706 18569458059 24759277412 37138916118 49518554824 55708374177 74277832236 111416748354 148555664472 222833496708 445666993416