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56441744714465 = 51141293523163337
BaseRepresentation
bin11001101010101010111100…
…01001001110101011100001
321101211210000020022101211122
430311111132021032223201
524344220143121330330
6320012551330422025
714613532023151235
oct1465253611165341
9241753006271748
1056441744714465
1116a9089a504760
1263b6956131915
132565583a77586
14dd1b1b76c5c5
1567d2a52605e5
hex33555e24eae1

56441744714465 has 64 divisors (see below), whose sum is σ = 76093513558272. Its totient is φ = 39834122342400.

The previous prime is 56441744714461. The next prime is 56441744714521.

56441744714465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56441744714465 - 22 = 56441744714461 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56441744714398 and 56441744714407.

It is not an unprimeable number, because it can be changed into a prime (56441744714461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345472277 + ... + 345635613.

It is an arithmetic number, because the mean of its divisors is an integer number (1188961149348).

Almost surely, 256441744714465 is an apocalyptic number.

56441744714465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56441744714465 is a deficient number, since it is larger than the sum of its proper divisors (19651768843807).

56441744714465 is a wasteful number, since it uses less digits than its factorization.

56441744714465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164210.

The product of its digits is 180633600, while the sum is 62.

The spelling of 56441744714465 in words is "fifty-six trillion, four hundred forty-one billion, seven hundred forty-four million, seven hundred fourteen thousand, four hundred sixty-five".

Divisors: 1 5 11 41 55 205 293 451 523 1465 2255 2615 3223 5753 12013 16115 21443 28765 60065 107215 132143 153239 163337 235873 660715 766195 816685 1179365 1685629 1796707 6282799 6696817 8428145 8983535 31413995 33484085 47857741 69110789 73664987 85425251 239288705 345553945 368324935 427126255 526435151 939677761 1962167381 2632175755 3502435291 4698388805 9810836905 17512176455 21583841191 25029598543 38526788201 107919205955 125147992715 192633941005 275325583973 1026213540263 1376627919865 5131067701315 11288348942893 56441744714465