Search a number
-
+
552739484937255 = 35711677142721263
BaseRepresentation
bin111110110101101101011000…
…0101001110010110000100111
32200111002101020001221210111220
41331223122300221302300213
51034422040431120443010
65235325003000431423
7224266052466350550
oct17553326051626047
92614071201853456
10552739484937255
111501355543a4090
1251bb0747178573
131a956157240355
149a6ca3b82d327
1543d8050c88970
hex1f6b6b0a72c27

552739484937255 has 64 divisors (see below), whose sum is σ = 1119064425873408. Its totient is φ = 226281409580160.

The previous prime is 552739484937239. The next prime is 552739484937323.

552739484937255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552739484937255 - 24 = 552739484937239 is a prime.

It is a congruent 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, 3571283247 + ... + 3571438016.

It is an arithmetic number, because the mean of its divisors is an integer number (17485381654272).

Almost surely, 2552739484937255 is an apocalyptic number.

552739484937255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552739484937255 is an abundant number, since it is smaller than the sum of its proper divisors (566324940936153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

552739484937255 is a wasteful number, since it uses less digits than its factorization.

552739484937255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142721356.

The product of its digits is 11430720000, while the sum is 78.

The spelling of 552739484937255 in words is "five hundred fifty-two trillion, seven hundred thirty-nine billion, four hundred eighty-four million, nine hundred thirty-seven thousand, two hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 67 77 105 165 201 231 335 385 469 737 1005 1155 1407 2211 2345 3685 5159 7035 11055 15477 25795 77385 7142721263 21428163789 35713606315 49999048841 78569933893 107140818945 149997146523 235709801679 249995244205 392849669465 478562324621 549989537251 749985732615 1178549008395 1435686973863 1649968611753 2392811623105 2749947686255 3349936272347 5264185570831 7178434869315 8249843058765 10049808817041 15792556712493 16749681361735 26320927854155 36849298995817 50249044085205 78962783562465 110547896987451 184246494979085 552739484937255