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544528323825445 = 51717346218013449
BaseRepresentation
bin111101111001111101110000…
…1010011111100111100100101
32122102000101210010200111001201
41323303323201103330330211
51032333023001344403240
65210040505241122501
7222460605325451611
oct17363734123747445
92572011703614051
10544528323825445
1114855a18aa80203
12510a52a1a89431
131a4aba53c12b6b
149867450a60341
1542e4670ad7d9a
hex1ef3ee14fcf25

544528323825445 has 32 divisors (see below), whose sum is σ = 696021213592800. Its totient is φ = 407539604398080.

The previous prime is 544528323825419. The next prime is 544528323825571.

544528323825445 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 72740992341889 + 471787331483556 = 8528833^2 + 21720666^2 .

It is not a de Polignac number, because 544528323825445 - 229 = 544527786954533 is a prime.

It is a super-2 number, since 2×5445283238254452 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63945081 + ... + 71958529.

It is an arithmetic number, because the mean of its divisors is an integer number (21750662924775).

Almost surely, 2544528323825445 is an apocalyptic number.

It is an amenable number.

544528323825445 is a deficient number, since it is larger than the sum of its proper divisors (151492889767355).

544528323825445 is a wasteful number, since it uses less digits than its factorization.

544528323825445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018265.

The product of its digits is 737280000, while the sum is 64.

The spelling of 544528323825445 in words is "five hundred forty-four trillion, five hundred twenty-eight billion, three hundred twenty-three million, eight hundred twenty-five thousand, four hundred forty-five".

Divisors: 1 5 17 85 173 865 2941 4621 14705 23105 78557 392785 799433 3997165 8013449 13590361 40067245 67951805 136228633 681143165 1386326677 6931633385 23567553509 37030147829 117837767545 185150739145 629512513093 3147562565465 6406215574417 32031077872085 108905664765089 544528323825445