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1090067944950 = 234521787150617
BaseRepresentation
bin11111101110011010001…
…11001101010111110110
310212012122201011002120000
433313031013031113312
5120324424343214300
62152434215052130
7141516620436555
oct17671507152766
93765581132500
101090067944950
11390327a34036
12157319671046
137ba401ba11a
143aa8c38dd9c
151d54da64c00
hexfdcd1cd5f6

1090067944950 has 120 divisors (see below), whose sum is σ = 3030488984952. Its totient is φ = 290520190080.

The previous prime is 1090067944939. The next prime is 1090067944967. The reversal of 1090067944950 is 594497600901.

It is a happy number.

1090067944950 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 0 + 67 + 94 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7162042 + ... + 7312658.

Almost surely, 21090067944950 is an apocalyptic number.

1090067944950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090067944950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515244492476).

1090067944950 is an abundant number, since it is smaller than the sum of its proper divisors (1940421040002).

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

1090067944950 is a wasteful number, since it uses less digits than its factorization.

1090067944950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152428 (or 152414 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1090067944950 in words is "one trillion, ninety billion, sixty-seven million, nine hundred forty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 1787 2025 3574 4050 5361 8935 10722 16083 17870 26805 32166 44675 48249 53610 80415 89350 96498 134025 144747 150617 160830 241245 268050 289494 301234 402075 451851 482490 723735 753085 804150 903702 1206225 1355553 1447470 1506170 2259255 2412450 2711106 3618675 3765425 4066659 4518510 6777765 7237350 7530850 8133318 11296275 12199977 13555530 20333295 22592550 24399954 33888825 40666590 60999885 67777650 101666475 121999770 203332950 269152579 304999425 538305158 609998850 807457737 1345762895 1614915474 2422373211 2691525790 4037288685 4844746422 6728814475 7267119633 8074577370 12111866055 13457628950 14534239266 20186443425 21801358899 24223732110 36335598165 40372886850 43602717798 60559330275 72671196330 109006794495 121118660550 181677990825 218013588990 363355981650 545033972475 1090067944950