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552141141255 = 325112003556883
BaseRepresentation
bin10000000100011100010…
…11010011010100000111
31221210011122222010111100
420002032023103110013
533021241113010010
61101352232511143
754614400156414
oct10021613232407
91853148863440
10552141141255
111a3186309680
128b012b4b4b3
13400b3681792
141ca1c06d10b
15e56846a2c0
hex808e2d3507

552141141255 has 48 divisors (see below), whose sum is σ = 1044571821696. Its totient is φ = 267570663360.

The previous prime is 552141141247. The next prime is 552141141257.

552141141255 is a `hidden beast` number, since 5 + 52 + 141 + 1 + 412 + 55 = 666.

552141141255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552141141255 - 23 = 552141141247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552141141257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713044 + ... + 1269926.

It is an arithmetic number, because the mean of its divisors is an integer number (21761912952).

Almost surely, 2552141141255 is an apocalyptic number.

552141141255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552141141255 is a deficient number, since it is larger than the sum of its proper divisors (492430680441).

552141141255 is a wasteful number, since it uses less digits than its factorization.

552141141255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558908 (or 558905 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

It can be divided in two parts, 552141 and 141255, that added together give a palindrome (693396).

The spelling of 552141141255 in words is "five hundred fifty-two billion, one hundred forty-one million, one hundred forty-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2003 6009 10015 18027 22033 30045 66099 90135 110165 198297 330495 556883 991485 1670649 2784415 5011947 6125713 8353245 18377139 25059735 30628565 55131417 91885695 275657085 1115436649 3346309947 5577183245 10038929841 12269803139 16731549735 36809409417 50194649205 61349015695 110428228251 184047047085 552141141255