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54322366322345 = 51123314798329983
BaseRepresentation
bin11000101100111111010010…
…10110010001011010101001
321010100011112002221220002012
430112133221112101122221
524110004201234303340
6311311203420245305
714304442610103512
oct1426375126213251
9233304462856065
1054322366322345
1116343a93675a80
1261140566a0835
13244076704b974
14d5b306345a09
156430b1b67565
hex3167e95916a9

54322366322345 has 128 divisors (see below), whose sum is σ = 78310432309248. Its totient is φ = 35754758265600.

The previous prime is 54322366322333. The next prime is 54322366322347.

54322366322345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54322366322345 - 28 = 54322366322089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54322366322293 and 54322366322302.

It is not an unprimeable number, because it can be changed into a prime (54322366322347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1811757224 + ... + 1811787206.

It is an arithmetic number, because the mean of its divisors is an integer number (611800252416).

Almost surely, 254322366322345 is an apocalyptic number.

54322366322345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54322366322345 is a deficient number, since it is larger than the sum of its proper divisors (23988065986903).

54322366322345 is a wasteful number, since it uses less digits than its factorization.

54322366322345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31083.

The product of its digits is 18662400, while the sum is 50.

The spelling of 54322366322345 in words is "fifty-four trillion, three hundred twenty-two billion, three hundred sixty-six million, three hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 5 11 23 31 47 55 115 155 235 253 341 517 713 983 1081 1265 1457 1705 2585 3565 4915 5405 7285 7843 10813 11891 16027 22609 29983 30473 33511 39215 46201 54065 59455 80135 113045 149915 152365 167555 231005 248699 329813 335203 368621 508211 689609 700879 929473 1062623 1243495 1409201 1432231 1649065 1676015 1843105 2541055 3448045 3504395 4647365 5313115 7046005 7161155 7585699 7709669 10224203 11688853 15501211 15754541 21377879 29473289 32411623 32941313 37928495 38548345 43685231 51121015 58444265 77506055 78772705 106889395 147366445 162058115 164706565 218426155 235156669 324206179 356527853 362354443 480537541 677885647 913671959 1004760313 1175783345 1385244583 1621030895 1782639265 1811772215 2402687705 3389428235 4568359795 5023801565 6926222915 7456742117 10050391549 11052363443 15237690413 21014455057 31860625409 37283710585 42942582073 50251957745 55261817215 76188452065 105072275285 159303127045 214712910365 231159005627 350466879499 472368402803 987679387679 1155795028135 1752334397495 2361842014015 4938396938395 10864473264469 54322366322345