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27702040512 = 2632322972731
BaseRepresentation
bin11001110011001010…
…111001011111000000
32122111121021110120110
4121303022321133000
5423213210244022
620420502511320
72000324313336
oct316312713700
978447243513
1027702040512
1110826097063
125451435540
1327c6285963
1414ab18bb56
15ac200c00c
hex6732b97c0

27702040512 has 112 divisors (see below), whose sum is σ = 76543034112. Its totient is φ = 8825456640.

The previous prime is 27702040453. The next prime is 27702040519. The reversal of 27702040512 is 21504020772.

It is a self number, because there is not a number n which added to its sum of digits gives 27702040512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27702040519) 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, 10142187 + ... + 10144917.

Almost surely, 227702040512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27702040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38271517056).

27702040512 is an abundant number, since it is smaller than the sum of its proper divisors (48840993600).

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

27702040512 is a wasteful number, since it uses less digits than its factorization.

27702040512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 27702040512 in words is "twenty-seven billion, seven hundred two million, forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 2297 2731 4416 4594 5462 6891 8193 9188 10924 13782 16386 18376 21848 27564 32772 36752 43696 52831 55128 62813 65544 73504 87392 105662 110256 125626 131088 147008 158493 174784 188439 211324 220512 251252 262176 316986 376878 422648 441024 502504 524352 633972 753756 845296 1005008 1267944 1507512 1690592 2010016 2535888 3015024 3381184 4020032 5071776 6030048 6273107 10143552 12060096 12546214 18819321 25092428 37638642 50184856 75277284 100369712 144281461 150554568 200739424 288562922 301109136 401478848 432844383 577125844 602218272 865688766 1154251688 1204436544 1731377532 2308503376 3462755064 4617006752 6925510128 9234013504 13851020256 27702040512