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16316145450 = 232521118118211
BaseRepresentation
bin11110011001000010…
…01001111100101010
31120010002201001211100
433030201021330222
5231403413123300
611255011342230
71115220643113
oct171441117452
946102631740
1016316145450
116a13047630
1231b42b1976
131700417b47
14b0ad4920a
15657643700
hex3cc849f2a

16316145450 has 144 divisors (see below), whose sum is σ = 48087984672. Its totient is φ = 3933360000.

The previous prime is 16316145431. The next prime is 16316145493. The reversal of 16316145450 is 5454161361.

16316145450 is a `hidden beast` number, since 1 + 6 + 3 + 161 + 45 + 450 = 666.

16316145450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 886845 + ... + 905055.

It is an arithmetic number, because the mean of its divisors is an integer number (333944338).

Almost surely, 216316145450 is an apocalyptic number.

16316145450 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 16316145450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24043992336).

16316145450 is an abundant number, since it is smaller than the sum of its proper divisors (31771839222).

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

16316145450 is a wasteful number, since it uses less digits than its factorization.

16316145450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18421 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 16316145450 in words is "sixteen billion, three hundred sixteen million, one hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 181 198 225 275 330 362 450 495 543 550 825 905 990 1086 1629 1650 1810 1991 2475 2715 3258 3982 4525 4950 5430 5973 8145 9050 9955 11946 13575 16290 17919 18211 19910 27150 29865 35838 36422 40725 49775 54633 59730 81450 89595 91055 99550 109266 149325 163899 179190 182110 200321 273165 298650 327798 400642 447975 455275 546330 600963 819495 895950 910550 1001605 1201926 1365825 1638990 1802889 2003210 2731650 3004815 3296191 3605778 4097475 5008025 6009630 6592382 8194950 9014445 9888573 10016050 15024075 16480955 18028890 19777146 29665719 30048150 32961910 36258101 45072225 49442865 59331438 72516202 82404775 90144450 98885730 108774303 148328595 164809550 181290505 217548606 247214325 296657190 326322909 362581010 494428650 543871515 652645818 741642975 906452525 1087743030 1483285950 1631614545 1812905050 2719357575 3263229090 5438715150 8158072725 16316145450