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27488833888472 = 23114095419140939
BaseRepresentation
bin1100100000000001111100…
…01011011110000011011000
310121022220111002121221212022
412100000332023132003120
512100334112433412342
6134244110154234012
75535000633543455
oct620007613360330
9117286432557768
1027488833888472
118838a49108a30
1230bb62aa25908
1312452555b2338
146b067672682c
1532a0aac659d2
hex19003e2de0d8

27488833888472 has 64 divisors (see below), whose sum is σ = 56375436240000. Its totient is φ = 12461986010880.

The previous prime is 27488833888441. The next prime is 27488833888493.

27488833888472 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 194970179 + ... + 195111117.

It is an arithmetic number, because the mean of its divisors is an integer number (880866191250).

Almost surely, 227488833888472 is an apocalyptic number.

27488833888472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27488833888472 is an abundant number, since it is smaller than the sum of its proper divisors (28886602351528).

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

27488833888472 is a wasteful number, since it uses less digits than its factorization.

27488833888472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146784 (or 146780 counting only the distinct ones).

The product of its digits is 7398752256, while the sum is 80.

The spelling of 27488833888472 in words is "twenty-seven trillion, four hundred eighty-eight billion, eight hundred thirty-three million, eight hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 409 818 1636 3272 4499 5419 8998 10838 17996 21676 35992 43352 59609 119218 140939 238436 281878 476872 563756 1127512 1550329 2216371 3100658 4432742 6201316 8865484 12402632 17730968 24380081 48760162 57644051 97520324 115288102 195040648 230576204 461152408 634084561 763748441 1268169122 1527496882 2536338244 3054993764 5072676488 6109987528 8401232851 16802465702 33604931404 67209862808 312373112369 624746224738 1249492449476 2498984898952 3436104236059 6872208472118 13744416944236 27488833888472