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2689137827112 = 2331119536112007
BaseRepresentation
bin100111001000011101000…
…110101101110100101000
3100112002010122020200201110
4213020131012231310220
5323024323240431422
65415212312150320
7365166225246042
oct47103506556450
910462118220643
102689137827112
1194750321a1a0
1237520a9983a0
1316677a502c79
1494225320a92
1549e3d66d60c
hex2721d1add28

2689137827112 has 64 divisors (see below), whose sum is σ = 7720012915200. Its totient is φ = 772001288640.

The previous prime is 2689137827111. The next prime is 2689137827141. The reversal of 2689137827112 is 2117287319862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2689137827111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268050988 + ... + 268061019.

It is an arithmetic number, because the mean of its divisors is an integer number (120625201800).

Almost surely, 22689137827112 is an apocalyptic number.

2689137827112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2689137827112 is an abundant number, since it is smaller than the sum of its proper divisors (5030875088088).

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

2689137827112 is a wasteful number, since it uses less digits than its factorization.

2689137827112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536112046 (or 536112042 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 57.

The spelling of 2689137827112 in words is "two trillion, six hundred eighty-nine billion, one hundred thirty-seven million, eight hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 536112007 1072224014 1608336021 2144448028 3216672042 4288896056 5897232077 6433344084 10186128133 11794464154 12866688168 17691696231 20372256266 23588928308 30558384399 35383392462 40744512532 47177856616 61116768798 70766784924 81489025064 112047409463 122233537596 141533569848 224094818926 244467075192 336142228389 448189637852 672284456778 896379275704 1344568913556 2689137827112