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6550656616116 = 22331131368739217
BaseRepresentation
bin101111101010011000110…
…0011111000011010110100
3212012020101112002222202000
41133110301203320122310
51324311221043203431
621533155145215300
71244161243344144
oct137246143703264
925166345088660
106550656616116
1120a6132980348
12899689791530
133869552a9b22
141890a6a26924
15b55e6e139e6
hex5f5318f86b4

6550656616116 has 96 divisors (see below), whose sum is σ = 17135166209280. Its totient is φ = 2164015429632.

The previous prime is 6550656616081. The next prime is 6550656616181. The reversal of 6550656616116 is 6116166560556.

6550656616116 is a `hidden beast` number, since 6 + 5 + 5 + 0 + 6 + 5 + 6 + 616 + 1 + 16 = 666.

It is a super-2 number, since 2×65506566161162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167016540 + ... + 167055756.

It is an arithmetic number, because the mean of its divisors is an integer number (178491314680).

Almost surely, 26550656616116 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 6550656616116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567583104640).

6550656616116 is an abundant number, since it is smaller than the sum of its proper divisors (10584509593164).

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

6550656616116 is a wasteful number, since it uses less digits than its factorization.

6550656616116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53030 (or 53022 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 6550656616116 in words is "six trillion, five hundred fifty billion, six hundred fifty-six million, six hundred sixteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 13687 27374 39217 41061 54748 78434 82122 117651 123183 156868 164244 235302 246366 352953 369549 470604 492732 705906 739098 1058859 1411812 1478196 1546631 2117718 3093262 4235436 4431521 4639893 6186524 8863042 9279786 13294563 13919679 17726084 18559572 26589126 27839358 39883689 41759037 53178252 55678716 79767378 83518074 119651067 159534756 167036148 239302134 478604268 536763079 1073526158 1610289237 2147052316 3220578474 4830867711 6441156948 9661735422 14492603133 19323470844 28985206266 57970412532 60654227927 121308455854 181962683781 242616911708 363925367562 545888051343 727850735124 1091776102686 1637664154029 2183552205372 3275328308058 6550656616116