Search a number
-
+
16517447980 = 22511791098719
BaseRepresentation
bin11110110001000010…
…00100000100101100
31120122010111021222121
433120201010010230
5232311431313410
611331002122324
71123213664005
oct173041040454
946563437877
1016517447980
11700673a160
12324b7b03a4
131733039c77
14b2998a1ac
1566a1589da
hex3d884412c

16517447980 has 96 divisors (see below), whose sum is σ = 38674944000. Its totient is φ = 5875234560.

The previous prime is 16517447941. The next prime is 16517448001. The reversal of 16517447980 is 8974471561.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890061 + ... + 1898779.

It is an arithmetic number, because the mean of its divisors is an integer number (402864000).

Almost surely, 216517447980 is an apocalyptic number.

16517447980 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 16517447980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19337472000).

16517447980 is an abundant number, since it is smaller than the sum of its proper divisors (22157496020).

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

16517447980 is a wasteful number, since it uses less digits than its factorization.

16517447980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 16517447980 in words is "sixteen billion, five hundred seventeen million, four hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 109 110 158 218 220 316 395 436 545 790 869 1090 1199 1580 1738 2180 2398 3476 4345 4796 5995 8611 8690 8719 11990 17222 17380 17438 23980 34444 34876 43055 43595 86110 87190 94721 95909 172220 174380 189442 191818 378884 383636 473605 479545 688801 947210 950371 959090 1377602 1894420 1900742 1918180 2755204 3444005 3801484 4751855 6888010 7576811 9503710 10454081 13776020 15153622 19007420 20908162 30307244 37884055 41816324 52270405 75079309 75768110 104540810 150158618 151536220 209081620 300317236 375396545 750793090 825872399 1501586180 1651744798 3303489596 4129361995 8258723990 16517447980