Search a number
-
+
27187817552 = 2472313180567
BaseRepresentation
bin11001010100100001…
…010010110001010000
32121011202200020021122
4121110201102301100
5421140040130202
620253453141412
71651511431130
oct312441226120
977152606248
1027187817552
11105918a5805
12532918a868
132743890b0c
14145cb72ac0
15a91cd49a2
hex654852c50

27187817552 has 80 divisors (see below), whose sum is σ = 63299377152. Its totient is φ = 11060100480.

The previous prime is 27187817543. The next prime is 27187817557. The reversal of 27187817552 is 25571878172.

It is a junction number, because it is equal to n+sod(n) for n = 27187817494 and 27187817503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27187817557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297173 + ... + 377739.

Almost surely, 227187817552 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 27187817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31649688576).

27187817552 is an abundant number, since it is smaller than the sum of its proper divisors (36111559600).

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

27187817552 is a wasteful number, since it uses less digits than its factorization.

27187817552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80736 (or 80730 counting only the distinct ones).

The product of its digits is 2195200, while the sum is 53.

The spelling of 27187817552 in words is "twenty-seven billion, one hundred eighty-seven million, eight hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 131 161 184 262 322 368 524 644 917 1048 1288 1834 2096 2576 3013 3668 6026 7336 12052 14672 21091 24104 42182 48208 80567 84364 161134 168728 322268 337456 563969 644536 1127938 1289072 1853041 2255876 3706082 4511752 7412164 9023504 10554277 12971287 14824328 21108554 25942574 29648656 42217108 51885148 73879939 84434216 103770296 147759878 168868432 207540592 242748371 295519756 485496742 591039512 970993484 1182079024 1699238597 1941986968 3398477194 3883973936 6796954388 13593908776 27187817552