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52360416416 = 25711105120219
BaseRepresentation
bin110000110000111011…
…001000110010100000
312000011002100202020002
4300300323020302200
51324213231311131
640015401235132
73532353124160
oct606073106240
9160132322202
1052360416416
112022a0a9920
12a193492aa8
134c25aa9529
14276a0085a0
151566bec6cb
hexc30ec8ca0

52360416416 has 96 divisors (see below), whose sum is σ = 128649669120. Its totient is φ = 20379744000.

The previous prime is 52360416413. The next prime is 52360416431. The reversal of 52360416416 is 61461406325.

It is a super-2 number, since 2×523604164162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52360416416.

It is not an unprimeable number, because it can be changed into a prime (52360416413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579555 + ... + 2599773.

It is an arithmetic number, because the mean of its divisors is an integer number (1340100720).

Almost surely, 252360416416 is an apocalyptic number.

52360416416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52360416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64324834560).

52360416416 is an abundant number, since it is smaller than the sum of its proper divisors (76289252704).

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

52360416416 is a wasteful number, since it uses less digits than its factorization.

52360416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21298 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 52360416416 in words is "fifty-two billion, three hundred sixty million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1051 1232 2102 2464 4204 7357 8408 11561 14714 16816 20219 23122 29428 33632 40438 46244 58856 80876 80927 92488 117712 141533 161752 161854 184976 222409 235424 283066 323504 323708 369952 444818 566132 647008 647416 889636 1132264 1294832 1556863 1779272 2264528 2589664 3113726 3558544 4529056 6227452 7117088 12454904 21250169 24909808 42500338 49819616 85000676 148751183 170001352 233751859 297502366 340002704 467503718 595004732 680005408 935007436 1190009464 1636263013 1870014872 2380018928 3272526026 3740029744 4760037856 6545052052 7480059488 13090104104 26180208208 52360416416