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27688830912 = 263325396311
BaseRepresentation
bin11001110010011000…
…100000011111000000
32122110200102100102000
4121302120200133000
5423201320042122
620415311424000
72000104115361
oct316230403700
978420370360
1027688830912
1110819694536
125448b25000
1327c360c222
1414a950db68
15ac0c9d0ac
hex6726207c0

27688830912 has 112 divisors (see below), whose sum is σ = 81444998400. Its totient is φ = 9224513280.

The previous prime is 27688830881. The next prime is 27688830919. The reversal of 27688830912 is 21903888672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27688830919) 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, 4384237 + ... + 4390547.

Almost surely, 227688830912 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 27688830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40722499200).

27688830912 is an abundant number, since it is smaller than the sum of its proper divisors (53756167488).

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

27688830912 is a wasteful number, since it uses less digits than its factorization.

27688830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 27688830912 in words is "twenty-seven billion, six hundred eighty-eight million, eight hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2539 5078 6311 7617 10156 12622 15234 18933 20312 22851 25244 30468 37866 40624 45702 50488 56799 60936 68553 75732 81248 91404 100976 113598 121872 137106 151464 162496 170397 182808 201952 227196 243744 274212 302928 340794 365616 403904 454392 487488 548424 605856 681588 731232 908784 1096848 1211712 1363176 1462464 1817568 2193696 2726352 3635136 4387392 5452704 10905408 16023629 32047258 48070887 64094516 96141774 128189032 144212661 192283548 256378064 288425322 384567096 432637983 512756128 576850644 769134192 865275966 1025512256 1153701288 1538268384 1730551932 2307402576 3076536768 3461103864 4614805152 6922207728 9229610304 13844415456 27688830912