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553346444643355 = 51125331355134259
BaseRepresentation
bin111110111010001000000001…
…0010001010100110000011011
32200120020101220010201112221201
41331310100002101110300123
51040012012004312041410
65240511503005415031
7224360650511624116
oct17564200221246033
92616211803645851
10553346444643355
11150349a0031a900
125208a2b886a477
131a99b465a3623c
149a9017a14157d
1543e8c26b1183a
hex1f74402454c1b

553346444643355 has 48 divisors (see below), whose sum is σ = 746015497022880. Its totient is φ = 393579208788480.

The previous prime is 553346444643319. The next prime is 553346444643383.

553346444643355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 553346444643355 - 29 = 553346444642843 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17530785 + ... + 37603474.

It is an arithmetic number, because the mean of its divisors is an integer number (15541989521310).

Almost surely, 2553346444643355 is an apocalyptic number.

553346444643355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

553346444643355 is a deficient number, since it is larger than the sum of its proper divisors (192669052379525).

553346444643355 is a wasteful number, since it uses less digits than its factorization.

553346444643355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55134652 (or 55134641 counting only the distinct ones).

The product of its digits is 1866240000, while the sum is 64.

The spelling of 553346444643355 in words is "five hundred fifty-three trillion, three hundred forty-six billion, four hundred forty-four million, six hundred forty-three thousand, three hundred fifty-five".

Divisors: 1 5 11 53 55 121 265 313 583 605 1565 2915 3443 6413 16589 17215 32065 37873 82945 182479 189365 912395 2007269 10036345 55134259 275671295 606476849 2922115727 3032384245 6671245339 14610578635 17257023067 32143272997 33356226695 86285115335 160716364985 189827253737 353576002967 914622222551 949136268685 1767880014835 2088099791107 4573111112755 10060844448061 10440498955535 50304222240305 110669288928671 553346444643355