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544412244645 = 325171950136493
BaseRepresentation
bin1111110110000010111…
…11111001101010100101
31221001020000200111112100
413323001133321222211
532404424013312040
61054033255442313
754222020504223
oct7730137715245
91831200614470
10544412244645
1119a97a579215
1289616686399
133c45135c789
141c4c77b5b13
15e264b71b30
hex7ec17f9aa5

544412244645 has 48 divisors (see below), whose sum is σ = 999235207152. Its totient is φ = 273252096000.

The previous prime is 544412244569. The next prime is 544412244709. The reversal of 544412244645 is 546442214445.

544412244645 is a `hidden beast` number, since 5 + 4 + 44 + 122 + 446 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22433449284 + 521978795361 = 149778^2 + 722481^2 .

It is not a de Polignac number, because 544412244645 - 213 = 544412236453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 544412244645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14900019 + ... + 14936511.

It is an arithmetic number, because the mean of its divisors is an integer number (20817400149).

Almost surely, 2544412244645 is an apocalyptic number.

It is an amenable number.

544412244645 is a deficient number, since it is larger than the sum of its proper divisors (454822962507).

544412244645 is a wasteful number, since it uses less digits than its factorization.

544412244645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56022 (or 56019 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 45.

The spelling of 544412244645 in words is "five hundred forty-four billion, four hundred twelve million, two hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 19501 36493 58503 97505 109479 175509 182465 292515 328437 331517 547395 620381 877545 994551 1642185 1657585 1861143 2983653 3101905 4972755 5583429 9305715 14918265 27917145 711649993 2134949979 3558249965 6404849937 10674749895 12098049881 32024249685 36294149643 60490249405 108882448929 181470748215 544412244645