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445312505213544 = 23343431504365517
BaseRepresentation
bin110010101000000100110010…
…1101011111111001001101000
32011101201110102010222221122210
41211100021211223333021220
5431332000002313313134
64215033423555045120
7162540524003160333
oct14520114553771150
92141643363887583
10445312505213544
11119987a77a13551
1241b40668ba07a0
1316162a3472bcc7
147bd735137b61a
1536739009e42e9
hex1950265aff268

445312505213544 has 32 divisors (see below), whose sum is σ = 1139171524967520. Its totient is φ = 144985466813376.

The previous prime is 445312505213533. The next prime is 445312505213567.

It is a happy number.

445312505213544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445312505213493 and 445312505213502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215752181727 + ... + 215752183790.

It is an arithmetic number, because the mean of its divisors is an integer number (35599110155235).

Almost surely, 2445312505213544 is an apocalyptic number.

It is an amenable number.

445312505213544 is an abundant number, since it is smaller than the sum of its proper divisors (693859019753976).

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

445312505213544 is a wasteful number, since it uses less digits than its factorization.

445312505213544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431504365569 (or 431504365565 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

It can be divided in two parts, 44531250 and 5213544, that added together give a palindrome (49744794).

The spelling of 445312505213544 in words is "four hundred forty-five trillion, three hundred twelve billion, five hundred five million, two hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 431504365517 863008731034 1294513096551 1726017462068 2589026193102 3452034924136 5178052386204 10356104772408 18554687717231 37109375434462 55664063151693 74218750868924 111328126303386 148437501737848 222656252606772 445312505213544