Search a number
-
+
15680348165380 = 22523437271090423
BaseRepresentation
bin1110010000101101110110…
…0101010001010100000100
32001112000201102110010211211
43210023131211101110010
54023401323112243010
653203241423541204
73205603434162463
oct344133545212404
961460642403754
1015680348165380
114aa5aa8831a38
121912b58a5a804
1389985c174bc2
143c2d0bc449da
151c2d3632608a
hexe42dd951504

15680348165380 has 96 divisors (see below), whose sum is σ = 35207889260544. Its totient is φ = 5851849981824.

The previous prime is 15680348165371. The next prime is 15680348165459. The reversal of 15680348165380 is 8356184308651.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13834849 + ... + 14925271.

It is an arithmetic number, because the mean of its divisors is an integer number (366748846464).

Almost surely, 215680348165380 is an apocalyptic number.

15680348165380 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 15680348165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603944630272).

15680348165380 is an abundant number, since it is smaller than the sum of its proper divisors (19527541095164).

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

15680348165380 is a wasteful number, since it uses less digits than its factorization.

15680348165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091225 (or 1091223 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 15680348165380 in words is "fifteen trillion, six hundred eighty billion, three hundred forty-eight million, one hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 727 860 989 1454 1978 2908 3635 3956 4945 7270 9890 14540 16721 19780 31261 33442 62522 66884 83605 125044 156305 167210 312610 334420 625220 719003 1090423 1438006 2180846 2876012 3595015 4361692 5452115 7190030 10904230 14380060 21808460 25079729 46888189 50159458 93776378 100318916 125398645 187552756 234440945 250797290 468881890 501594580 792737521 937763780 1078428347 1585475042 2156856694 3170950084 3963687605 4313713388 5392141735 7927375210 10784283470 15854750420 18232962983 21568566940 34087713403 36465925966 68175426806 72931851932 91164814915 136350853612 170438567015 182329629830 340877134030 364659259660 681754268060 784017408269 1568034816538 3136069633076 3920087041345 7840174082690 15680348165380