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555112116 = 223513197223
BaseRepresentation
bin100001000101100…
…101011010110100
31102200112121200000
4201011211122310
52114102041431
6131025551300
716520242446
oct4105453264
91380477600
10555112116
11265389a49
12135aa5530
138b010310
1453a20496
1533b029e6
hex211656b4

555112116 has 144 divisors (see below), whose sum is σ = 1582124544. Its totient is φ = 169174656.

The previous prime is 555112099. The next prime is 555112121. The reversal of 555112116 is 611211555.

It is a super-2 number, since 2×5551121162 = 616298922659994912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 555112116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489181 + ... + 2489403.

It is an arithmetic number, because the mean of its divisors is an integer number (10986976).

Almost surely, 2555112116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 555112116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791062272).

555112116 is an abundant number, since it is smaller than the sum of its proper divisors (1027012428).

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

555112116 is a wasteful number, since it uses less digits than its factorization.

555112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its digits is 1500, while the sum is 27.

The square root of 555112116 is about 23560.8173881977. The cubic root of 555112116 is about 821.8519100261.

The spelling of 555112116 in words is "five hundred fifty-five million, one hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 197 223 234 243 324 351 394 446 468 486 591 669 702 788 892 972 1053 1182 1338 1404 1773 2007 2106 2364 2561 2676 2899 3159 3546 4014 4212 5122 5319 5798 6021 6318 7092 7683 8028 8697 10244 10638 11596 12042 12636 15366 15957 17394 18063 21276 23049 24084 26091 30732 31914 34788 36126 43931 46098 47871 52182 54189 63828 69147 72252 78273 87862 92196 95742 104364 108378 131793 138294 156546 175724 191484 207441 216756 234819 263586 276588 313092 395379 414882 469638 527172 571103 622323 704457 790758 829764 939276 1142206 1186137 1244646 1408914 1581516 1713309 2284412 2372274 2489292 2817828 3426618 3558411 4744548 5139927 6853236 7116822 10279854 10675233 14233644 15419781 20559708 21350466 30839562 42700932 46259343 61679124 92518686 138778029 185037372 277556058 555112116