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552264282462255 = 351122314311314767
BaseRepresentation
bin111110110010010000000110…
…0011000001101100000101111
32200102101221122101122212121020
41331210200030120031200233
51034341244222302243010
65234322413042305223
7224216530516066356
oct17544401430154057
92612357571585536
10552264282462255
1114aa71a6aa4a200
1251b34626958213
131a9203b56b60bc
149a53a3bb2899d
1543ca9dc180470
hex1f6480c60d82f

552264282462255 has 48 divisors (see below), whose sum is σ = 971259805780992. Its totient is φ = 267763139934400.

The previous prime is 552264282462239. The next prime is 552264282462271.

552264282462255 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (552264282462239) and next prime (552264282462271).

It is not a de Polignac number, because 552264282462255 - 24 = 552264282462239 is a prime.

It is a super-4 number, since 4×5522642824622554 (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

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, 419389882 + ... + 420704648.

It is an arithmetic number, because the mean of its divisors is an integer number (20234579287104).

Almost surely, 2552264282462255 is an apocalyptic number.

552264282462255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552264282462255 is a deficient number, since it is larger than the sum of its proper divisors (418995523318737).

552264282462255 is a wasteful number, since it uses less digits than its factorization.

552264282462255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546228 (or 1546217 counting only the distinct ones).

The product of its digits is 184320000, while the sum is 60.

The spelling of 552264282462255 in words is "five hundred fifty-two trillion, two hundred sixty-four billion, two hundred eighty-two million, four hundred sixty-two thousand, two hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 1815 231431 694293 1157155 1314767 2545741 3471465 3944301 6573835 7637223 12728705 14462437 19721505 28003151 38186115 43387311 72312185 84009453 140015755 159086807 216936555 420047265 477260421 795434035 2386302105 304277841577 912833524731 1521389207885 3347056257347 4564167623655 10041168772041 16735281286735 36817618830817 50205843860205 110452856492451 184088094154085 552264282462255