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445214555536 = 2431253812
BaseRepresentation
bin1100111101010001101…
…10101111110110010000
31120120011202201202220211
412132220312233312100
524243244411234121
6540310113013504
744110555165432
oct6365066576620
91516152652824
10445214555536
111618a6012173
1272351554294
1332ca2b31a0a
1417797122652
15b8ab0b8ce1
hex67a8dafd90

445214555536 has 45 divisors (see below), whose sum is σ = 891492395169. Its totient is φ = 215386363200.

The previous prime is 445214555521. The next prime is 445214555543. The reversal of 445214555536 is 635555412544.

The square root of 445214555536 is 667244.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144822869136 + 300391686400 = 380556^2 + 548080^2 .

It is a super-2 number, since 2×4452145555362 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 445214555536.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82735566 + ... + 82740946.

Almost surely, 2445214555536 is an apocalyptic number.

445214555536 is the 667244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445214555536

445214555536 is an abundant number, since it is smaller than the sum of its proper divisors (446277839633).

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

445214555536 is an frugal number, since it uses more digits than its factorization.

445214555536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 5414 counting only the distinct ones).

The product of its digits is 7200000, while the sum is 49.

Multiplying 445214555536 by its sum of digits (49), we get a square (21815513221264 = 46707082).

The spelling of 445214555536 in words is "four hundred forty-five billion, two hundred fourteen million, five hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 5381 7688 10762 15376 21524 43048 86096 166811 333622 667244 1334488 2668976 5171141 10342282 20684564 28955161 41369128 57910322 82738256 115820644 231641288 463282576 897609991 1795219982 3590439964 7180879928 14361759856 27825909721 55651819442 111303638884 222607277768 445214555536