Search a number
-
+
10115050116560 = 245373631941131
BaseRepresentation
bin1001001100110001011111…
…1110000001010111010000
31022210222201020022201202112
42103030113332001113100
52311211110312212220
633302442340204452
72062534241243534
oct223142776012720
938728636281675
1010115050116560
11324a850101484
121174445999728
13584aca9b047c
1426d7dccdbbc4
151281b05915c5
hex93317f815d0

10115050116560 has 80 divisors (see below), whose sum is σ = 24159776984832. Its totient is φ = 3935579788800.

The previous prime is 10115050116553. The next prime is 10115050116581. The reversal of 10115050116560 is 6561105051101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10277195 + ... + 11218325.

Almost surely, 210115050116560 is an apocalyptic number.

10115050116560 is a gapful number since it is divisible by the number (10) 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 10115050116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079888492416).

10115050116560 is an abundant number, since it is smaller than the sum of its proper divisors (14044726868272).

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

10115050116560 is a wasteful number, since it uses less digits than its factorization.

10115050116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944812 (or 944806 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 32.

Adding to 10115050116560 its reverse (6561105051101), we get a palindrome (16676155167661).

The spelling of 10115050116560 in words is "ten trillion, one hundred fifteen billion, fifty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 3631 7262 14524 18155 29048 36310 58096 72620 134347 145240 268694 290480 537388 671735 941131 1074776 1343470 1882262 2149552 2686940 3764524 4705655 5373880 7529048 9411310 10747760 15058096 18822620 34821847 37645240 69643694 75290480 139287388 174109235 278574776 348218470 557149552 696436940 1392873880 2785747760 3417246661 6834493322 13668986644 17086233305 27337973288 34172466610 54675946576 68344933220 126438126457 136689866440 252876252914 273379732880 505752505828 632190632285 1011505011656 1264381264570 2023010023312 2528762529140 5057525058280 10115050116560