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445478445445 = 511229371375009
BaseRepresentation
bin1100111101110001001…
…01011010000110000101
31120120212011021202211011
412132320211122012011
524244314440223240
6540352221042221
744120241210655
oct6367045320605
91516764252734
10445478445445
11161a20a72600
12724059b6371
13330156c86a7
14177c01b6365
15b8c43436ea
hex67b895a185

445478445445 has 96 divisors (see below), whose sum is σ = 628962213600. Its totient is φ = 302076149760.

The previous prime is 445478445443. The next prime is 445478445457. The reversal of 445478445445 is 544544874544.

It can be written as a sum of positive squares in 16 ways, for example, as 16560858721 + 428917586724 = 128689^2 + 654918^2 .

It is not a de Polignac number, because 445478445445 - 21 = 445478445443 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 445478445445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445478445443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88933101 + ... + 88938109.

It is an arithmetic number, because the mean of its divisors is an integer number (6551689725).

Almost surely, 2445478445445 is an apocalyptic number.

It is an amenable number.

445478445445 is a deficient number, since it is larger than the sum of its proper divisors (183483768155).

445478445445 is a wasteful number, since it uses less digits than its factorization.

445478445445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5228 counting only the distinct ones).

The product of its digits is 114688000, while the sum is 58.

The spelling of 445478445445 in words is "four hundred forty-five billion, four hundred seventy-eight million, four hundred forty-five thousand, four hundred forty-five".

Divisors: 1 5 11 29 37 55 121 137 145 185 319 407 605 685 1073 1507 1595 2035 3509 3973 4477 5009 5069 5365 7535 11803 16577 17545 19865 22385 25045 25345 43703 55099 55759 59015 82885 129833 145261 147001 185333 218515 275495 278795 480733 606089 613349 649165 686233 726305 735005 926665 1597871 1617011 2038663 2403665 3030445 3066745 3431165 5374657 7548563 7989355 8085055 10193315 17576581 17787121 19900757 22425293 25390621 26873285 37742815 59121227 83034193 87882905 88935605 99503785 112126465 126953105 218908327 279296831 295606135 415170965 650333497 736328009 1094541635 1396484155 2407991597 3072265141 3251667485 3681640045 8099608099 12039957985 15361325705 40498040495 89095689089 445478445445