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16448133173700 = 223521013607150497
BaseRepresentation
bin1110111101011010000100…
…1000101001000111000100
32011020102111200101202002110
43233112201020221013010
54123441234043024300
654552100145141020
73315224034110124
oct357264110510704
964212450352073
1016448133173700
115271683413668
121a1791262a770
1392408aba9207
1440c145900c84
151d7cc1310550
hexef5a12291c4

16448133173700 has 144 divisors (see below), whose sum is σ = 48074763268224. Its totient is φ = 4341508608000.

The previous prime is 16448133173579. The next prime is 16448133173723. The reversal of 16448133173700 is 737133184461.

It is a self number, because there is not a number n which added to its sum of digits gives 16448133173700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109216852 + ... + 109367348.

It is an arithmetic number, because the mean of its divisors is an integer number (333852522696).

Almost surely, 216448133173700 is an apocalyptic number.

16448133173700 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 16448133173700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037381634112).

16448133173700 is an abundant number, since it is smaller than the sum of its proper divisors (31626630094524).

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

16448133173700 is a wasteful number, since it uses less digits than its factorization.

16448133173700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154222 (or 154215 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 16448133173700 in words is "sixteen trillion, four hundred forty-eight billion, one hundred thirty-three million, one hundred seventy-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 3607 5050 6060 7214 7575 10100 10821 14428 15150 18035 21642 30300 36070 43284 54105 72140 90175 108210 150497 180350 216420 270525 300994 360700 364307 451491 541050 601988 728614 752485 902982 1082100 1092921 1457228 1504970 1805964 1821535 2185842 2257455 3009940 3643070 3762425 4371684 4514910 5464605 7286140 7524850 9029820 9107675 10929210 11287275 15049700 15200197 18215350 21858420 22574550 27323025 30400394 36430700 45149100 45600591 54646050 60800788 76000985 91201182 109292100 152001970 182402364 228002955 304003940 380004925 456005910 542842679 760009850 912011820 1085685358 1140014775 1520019700 1628528037 2171370716 2280029550 2714213395 3257056074 4560059100 5428426790 6514112148 8142640185 10856853580 13571066975 16285280370 27142133950 32570560740 40713200925 54284267900 54827110579 81426401850 109654221158 162852803700 164481331737 219308442316 274135552895 328962663474 548271105790 657925326948 822406658685 1096542211580 1370677764475 1644813317370 2741355528950 3289626634740 4112033293425 5482711057900 8224066586850 16448133173700