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55606506516 = 2232111279971109
BaseRepresentation
bin110011110010011001…
…111111010000010100
312022112022110012201100
4303302121333100110
51402340231202031
641313440230100
74005660335541
oct636231772024
9168468405640
1055606506516
1121645472410
12a93a60b330
1353224648c2
14299718dbc8
1516a6ba1de6
hexcf267f414

55606506516 has 144 divisors (see below), whose sum is σ = 154841057280. Its totient is φ = 16685948160.

The previous prime is 55606506509. The next prime is 55606506517. The reversal of 55606506516 is 61560560655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55606506517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50140570 + ... + 50141678.

It is an arithmetic number, because the mean of its divisors is an integer number (1075285120).

Almost surely, 255606506516 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 55606506516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77420528640).

55606506516 is an abundant number, since it is smaller than the sum of its proper divisors (99234550764).

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

55606506516 is a wasteful number, since it uses less digits than its factorization.

55606506516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 55606506516 in words is "fifty-five billion, six hundred six million, five hundred six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 997 1109 1143 1397 1524 1994 2218 2286 2794 2991 3327 3988 4191 4436 4572 5588 5982 6654 8382 8973 9981 10967 11964 12199 12573 13308 16764 17946 19962 21934 24398 25146 32901 35892 36597 39924 43868 48796 50292 65802 73194 98703 109791 126619 131604 140843 146388 197406 219582 253238 281686 379857 394812 422529 439164 506476 563372 759714 845058 1105673 1139571 1267587 1392809 1519428 1549273 1690116 2211346 2279142 2535174 2785618 3098546 3317019 4178427 4422692 4558284 4647819 5070348 5571236 6197092 6634038 8356854 9295638 9951057 12162403 12535281 13268076 13943457 16713708 18591276 19902114 24324806 25070562 27886914 36487209 39804228 48649612 50141124 55773828 72974418 109461627 140420471 145948836 218923254 280840942 421261413 437846508 561681884 842522826 1263784239 1544625181 1685045652 2527568478 3089250362 4633875543 5055136956 6178500724 9267751086 13901626629 18535502172 27803253258 55606506516