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445285582544 = 241110148751437
BaseRepresentation
bin1100111101011010001…
…01101100011011010000
31120120100201101022122202
412132231011230123100
524243421102120134
6540321131222332
744112410000315
oct6365505543320
91516321338582
10445285582544
11161932114880
12723712a79a8
1332cb476cb2a
14177a2730d0c
15b8b2448d7e
hex67ad16c6d0

445285582544 has 80 divisors (see below), whose sum is σ = 952460574336. Its totient is φ = 199983168000.

The previous prime is 445285582523. The next prime is 445285582603.

445285582544 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 445285582544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8631194 + ... + 8682630.

Almost surely, 2445285582544 is an apocalyptic number.

445285582544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445285582544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476230287168).

445285582544 is an abundant number, since it is smaller than the sum of its proper divisors (507174991792).

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

445285582544 is a wasteful number, since it uses less digits than its factorization.

445285582544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52044 (or 52038 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 56.

The spelling of 445285582544 in words is "four hundred forty-five billion, two hundred eighty-five million, five hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 487 808 974 1111 1616 1948 2222 3896 4444 5357 7792 8888 10714 17776 21428 42856 49187 51437 85712 98374 102874 196748 205748 393496 411496 541057 565807 786992 822992 1082114 1131614 2164228 2263228 4328456 4526456 5195137 8656912 9052912 10390274 20780548 25049819 41561096 50099638 57146507 83122192 100199276 114293014 200398552 228586028 275548009 400797104 457172056 551096018 914344112 1102192036 2204384072 2530031719 4408768144 5060063438 10120126876 20240253752 27830348909 40480507504 55660697818 111321395636 222642791272 445285582544