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2086532514 = 2331153191347
BaseRepresentation
bin111110001011101…
…1111010110100010
312101102011211112000
41330113133112202
513233123020024
6543013344430
7102464143113
oct17427372642
95342154460
102086532514
1198087a840
124a2938116
13273383c31
1415b18220a
15c32a6cc9
hex7c5df5a2

2086532514 has 128 divisors (see below), whose sum is σ = 5195612160. Its totient is φ = 615326400.

The previous prime is 2086532509. The next prime is 2086532563. The reversal of 2086532514 is 4152356802.

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 63 ways as a sum of consecutive naturals, for example, 6012889 + ... + 6013235.

It is an arithmetic number, because the mean of its divisors is an integer number (40590720).

Almost surely, 22086532514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2086532514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597806080).

2086532514 is an abundant number, since it is smaller than the sum of its proper divisors (3109079646).

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

2086532514 is a wasteful number, since it uses less digits than its factorization.

2086532514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2086532514 is about 45678.5782834799. The cubic root of 2086532514 is about 1277.8358029257.

The spelling of 2086532514 in words is "two billion, eighty-six million, five hundred thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 191 198 297 318 347 382 477 573 583 594 694 954 1041 1146 1166 1431 1719 1749 2082 2101 2862 3123 3438 3498 3817 4202 5157 5247 6246 6303 7634 9369 10123 10314 10494 11451 12606 15741 18391 18738 18909 20246 22902 30369 31482 34353 36782 37818 55173 56727 60738 66277 68706 91107 103059 110346 111353 113454 132554 165519 182214 198831 202301 206118 222706 273321 331038 334059 397662 404602 496557 546642 596493 606903 668118 729047 993114 1002177 1192986 1213806 1458094 1789479 1820709 2004354 2187141 3006531 3512681 3578958 3641418 4374282 5462127 6013062 6561423 7025362 10538043 10924254 13122846 19684269 21076086 31614129 38639491 39368538 63228258 77278982 94842387 115918473 189684774 231836946 347755419 695510838 1043266257 2086532514