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16483144140 = 22335166918289
BaseRepresentation
bin11110101100111100…
…01101000111001100
31120112201221110222000
433112132031013030
5232224141103030
611323334552300
71122316261551
oct172636150714
946481843860
1016483144140
116a9933a181
123240208690
131728bb9038
14b251baa28
1566712e860
hex3d678d1cc

16483144140 has 96 divisors (see below), whose sum is σ = 51314424000. Its totient is φ = 4392631296.

The previous prime is 16483144129. The next prime is 16483144243. The reversal of 16483144140 is 4144138461.

It is a happy number.

16483144140 is a `hidden beast` number, since 1 + 648 + 3 + 1 + 4 + 4 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16483144095 and 16483144104.

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, 892116 + ... + 910404.

It is an arithmetic number, because the mean of its divisors is an integer number (534525250).

Almost surely, 216483144140 is an apocalyptic number.

16483144140 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 16483144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25657212000).

16483144140 is an abundant number, since it is smaller than the sum of its proper divisors (34831279860).

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

16483144140 is a wasteful number, since it uses less digits than its factorization.

16483144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19976 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 16483144140 in words is "sixteen billion, four hundred eighty-three million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1669 3338 5007 6676 8345 10014 15021 16690 18289 20028 25035 30042 33380 36578 45063 50070 54867 60084 73156 75105 90126 91445 100140 109734 150210 164601 180252 182890 219468 225315 274335 300420 329202 365780 450630 493803 548670 658404 823005 901260 987606 1097340 1646010 1975212 2469015 3292020 4938030 9876060 30524341 61048682 91573023 122097364 152621705 183146046 274719069 305243410 366292092 457865115 549438138 610486820 824157207 915730230 1098876276 1373595345 1648314414 1831460460 2747190690 3296628828 4120786035 5494381380 8241572070 16483144140