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2686492512 = 2532112114019
BaseRepresentation
bin1010000000100000…
…1001111101100000
320221020002221220200
42200020021331200
521000220230022
61122324505200
7123400544454
oct24010117540
96836087820
102686492512
111159500650
1262b84b200
1333a767552
141b6b18664
1510acb7bac
hexa0209f60

2686492512 has 144 divisors (see below), whose sum is σ = 8375814720. Its totient is φ = 810028800.

The previous prime is 2686492511. The next prime is 2686492513. The reversal of 2686492512 is 2152946862.

It is an interprime number because it is at equal distance from previous prime (2686492511) and next prime (2686492513).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686492511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666439 + ... + 670457.

It is an arithmetic number, because the mean of its divisors is an integer number (58165380).

Almost surely, 22686492512 is an apocalyptic number.

2686492512 is a gapful number since it is divisible by the number (22) 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 2686492512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187907360).

2686492512 is an abundant number, since it is smaller than the sum of its proper divisors (5689322208).

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

2686492512 is a wasteful number, since it uses less digits than its factorization.

2686492512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4246 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2686492512 is about 51831.3853953374. The cubic root of 2686492512 is about 1390.1506853186.

The spelling of 2686492512 in words is "two billion, six hundred eighty-six million, four hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 211 264 288 352 396 422 528 633 792 844 1056 1266 1584 1688 1899 2321 2532 3168 3376 3798 4019 4642 5064 6752 6963 7596 8038 9284 10128 12057 13926 15192 16076 18568 20256 20889 24114 27852 30384 32152 36171 37136 41778 44209 48228 55704 60768 64304 72342 74272 83556 88418 96456 111408 128608 132627 144684 167112 176836 192912 222816 265254 289368 334224 353672 385824 397881 530508 578736 668448 707344 795762 848009 1061016 1157472 1414688 1591524 1696018 2122032 2544027 3183048 3392036 4244064 5088054 6366096 6784072 7632081 9328099 10176108 12732192 13568144 15264162 18656198 20352216 27136288 27984297 30528324 37312396 40704432 55968594 61056648 74624792 81408864 83952891 111937188 122113296 149249584 167905782 223874376 244226592 298499168 335811564 447748752 671623128 895497504 1343246256 2686492512