Search a number
-
+
55340544504355 = 51117416123665633
BaseRepresentation
bin11001001010100111110010…
…11111110011001000100011
321020221111121200211122100121
430211103321133303020203
524223144413343114410
6313411032320301111
714441136165621655
oct1445237137631043
9236844550748317
1055340544504355
11166a687a714090
126259450471797
1324b578b433306
14d946d4b1c6d5
1565e8042319da
hex3254f97f3223

55340544504355 has 64 divisors (see below), whose sum is σ = 79866402973056. Its totient is φ = 36350410752000.

The previous prime is 55340544504337. The next prime is 55340544504373.

55340544504355 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (55340544504337) and next prime (55340544504373).

It is not a de Polignac number, because 55340544504355 - 27 = 55340544504227 is a prime.

It is a super-2 number, since 2×553405445043552 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9494382 + ... + 14171251.

It is an arithmetic number, because the mean of its divisors is an integer number (1247912546454).

Almost surely, 255340544504355 is an apocalyptic number.

55340544504355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55340544504355 is a deficient number, since it is larger than the sum of its proper divisors (24525858468701).

55340544504355 is a wasteful number, since it uses less digits than its factorization.

55340544504355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23665768.

The product of its (nonzero) digits is 36000000, while the sum is 52.

The spelling of 55340544504355 in words is "fifty-five trillion, three hundred forty billion, five hundred forty-four million, five hundred four thousand, three hundred fifty-five".

Divisors: 1 5 11 17 41 55 61 85 187 205 305 451 671 697 935 1037 2255 2501 3355 3485 5185 7667 11407 12505 27511 38335 42517 57035 137555 212585 467687 2338435 23665633 118328165 260321963 402315761 970290953 1301609815 1443603613 2011578805 4425473371 4851454765 7218018065 10673200483 15879639743 16494946201 22127366855 24541261421 53366002415 59187748133 79398198715 82474731005 122706307105 181444408211 269953875631 295938740665 651065229463 907222041055 1006191718261 1349769378155 3255326147315 5030958591305 11068108900871 55340544504355