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54322222222345 = 571110711887110933
BaseRepresentation
bin11000101100111111000001…
…10000100100110000001001
321010100011011001210212001011
430112133200300210300021
524110003402342103340
6311311141231523521
714304436210216060
oct1426374060446011
9233304131725034
1054322222222345
1116343a1a2a3570
1261140163895a1
1324407432373ac
14d5b2d11551d7
156430a41a10ea
hex3167e0c24c09

54322222222345 has 64 divisors (see below), whose sum is σ = 82038877249536. Its totient is φ = 33543600410880.

The previous prime is 54322222222337. The next prime is 54322222222363.

54322222222345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54322222222345 - 23 = 54322222222337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54322222222298 and 54322222222307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489629499 + ... + 489740431.

It is an arithmetic number, because the mean of its divisors is an integer number (1281857457024).

Almost surely, 254322222222345 is an apocalyptic number.

54322222222345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54322222222345 is a deficient number, since it is larger than the sum of its proper divisors (27716655027191).

54322222222345 is a wasteful number, since it uses less digits than its factorization.

54322222222345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122950.

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 5432222 and 2222345, that added together give a palindrome (7654567).

The spelling of 54322222222345 in words is "fifty-four trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 5 7 11 35 55 77 107 385 535 749 1177 3745 5885 8239 11887 41195 59435 83209 110933 130757 416045 554665 653785 776531 915299 1220263 1271909 3882655 4576495 6101315 6359545 8541841 8903363 11869831 13990999 42709205 44516815 59349155 69954995 83088817 97936993 130568141 415444085 489684965 652840705 913976987 1318660571 4569884935 6593302855 9230623997 14505266281 46153119985 72526331405 101536863967 141096681097 507684319835 705483405485 987676767679 1552063492067 4938383838395 7760317460335 10864444444469 54322222222345