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445525525544 = 23115639897817
BaseRepresentation
bin1100111101110110110…
…01000000010000101000
31120120222102212200120112
412132323121000100220
524244414013304134
6540401022113452
744121352324511
oct6367331002050
91516872780515
10445525525544
11161a455a9580
127241971b888
13330223a0a38
14177c654da08
15b8c85431ce
hex67bb640428

445525525544 has 32 divisors (see below), whose sum is σ = 911464833600. Its totient is φ = 202475464320.

The previous prime is 445525525537. The next prime is 445525525559.

445525525544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4455255255442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445525525492 and 445525525501.

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 7 ways as a sum of consecutive naturals, for example, 47324 + ... + 945140.

It is an arithmetic number, because the mean of its divisors is an integer number (28483276050).

Almost surely, 2445525525544 is an apocalyptic number.

445525525544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445525525544 is an abundant number, since it is smaller than the sum of its proper divisors (465939308056).

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

445525525544 is a wasteful number, since it uses less digits than its factorization.

445525525544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903473 (or 903469 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 50.

The spelling of 445525525544 in words is "four hundred forty-five billion, five hundred twenty-five million, five hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 5639 11278 22556 45112 62029 124058 248116 496232 897817 1795634 3591268 7182536 9875987 19751974 39503948 79007896 5062790063 10125580126 20251160252 40502320504 55690690693 111381381386 222762762772 445525525544