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16540261650 = 232521129115223
BaseRepresentation
bin11110110011110000…
…00101110100010010
31120200201102100110100
433121320011310102
5232333301333100
611333135113230
71123611622113
oct173170056422
946621370410
1016540261650
117018601430
123257372816
131737996c93
14b2ca0820a
1566c163400
hex3d9e05d12

16540261650 has 144 divisors (see below), whose sum is σ = 50150093760. Its totient is φ = 3871459200.

The previous prime is 16540261579. The next prime is 16540261651. The reversal of 16540261650 is 5616204561.

16540261650 is a `hidden beast` number, since 1 + 6 + 540 + 2 + 61 + 6 + 50 = 666.

16540261650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16540261651) by changing a digit.

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, 85939 + ... + 201161.

It is an arithmetic number, because the mean of its divisors is an integer number (348264540).

Almost surely, 216540261650 is an apocalyptic number.

16540261650 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 16540261650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25075046880).

16540261650 is an abundant number, since it is smaller than the sum of its proper divisors (33609832110).

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

16540261650 is a wasteful number, since it uses less digits than its factorization.

16540261650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115281 (or 115273 counting only the distinct ones).

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

The spelling of 16540261650 in words is "sixteen billion, five hundred forty million, two hundred sixty-one thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 29 30 33 45 50 55 58 66 75 87 90 99 110 145 150 165 174 198 225 261 275 290 319 330 435 450 495 522 550 638 725 825 870 957 990 1305 1450 1595 1650 1914 2175 2475 2610 2871 3190 4350 4785 4950 5742 6525 7975 9570 13050 14355 15950 23925 28710 47850 71775 115223 143550 230446 345669 576115 691338 1037007 1152230 1267453 1728345 2074014 2534906 2880575 3341467 3456690 3802359 5185035 5761150 6337265 6682934 7604718 8641725 10024401 10370070 11407077 12674530 16707335 17283450 19011795 20048802 22814154 25925175 30073203 31686325 33414670 36756137 38023590 50122005 51850350 57035385 60146406 63372650 73512274 83536675 95058975 100244010 110268411 114070770 150366015 167073350 183780685 190117950 220536822 250610025 285176925 300732030 330805233 367561370 501220050 551342055 570353850 661610466 751830075 918903425 1102684110 1503660150 1654026165 1837806850 2756710275 3308052330 5513420550 8270130825 16540261650