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4416544012365 = 325241994940933
BaseRepresentation
bin100000001000100111010…
…0010010111100001001101
3120122012212112201222101200
41000101032202113201031
51034330040231343430
613220533213500113
7634041035460252
oct100211642274115
916565775658350
104416544012365
111453055a57361
125b3b577a1639
1326062ab14cb4
14113a94805429
1579d40008460
hex4044e89784d

4416544012365 has 48 divisors (see below), whose sum is σ = 7688068330800. Its totient is φ = 2345423247360.

The previous prime is 4416544012301. The next prime is 4416544012373. The reversal of 4416544012365 is 5632104456144.

4416544012365 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 5 + 4 + 401 + 236 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48352051881 + 4368191960484 = 219891^2 + 2090022^2 .

It is not a de Polignac number, because 4416544012365 - 26 = 4416544012301 is a prime.

It is a super-2 number, since 2×44165440123652 (a number of 26 digits) contains 22 as substring.

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 4416544012365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107876439 + ... + 107917371.

It is an arithmetic number, because the mean of its divisors is an integer number (160168090225).

Almost surely, 24416544012365 is an apocalyptic number.

4416544012365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4416544012365 is a deficient number, since it is larger than the sum of its proper divisors (3271524318435).

4416544012365 is a wasteful number, since it uses less digits than its factorization.

4416544012365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51134 (or 51131 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4416544012365 in words is "four trillion, four hundred sixteen billion, five hundred forty-four million, twelve thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 241 723 1205 2169 3615 9949 10845 29847 40933 49745 89541 122799 149235 204665 368397 447705 613995 1841985 2397709 7193127 9864853 11988545 21579381 29594559 35965635 49324265 88783677 107896905 147972795 407242417 443918385 1221727251 2036212085 3665181753 6108636255 18325908765 98145422497 294436267491 490727112485 883308802473 1472181337455 4416544012365