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27455055472 = 24132324123813
BaseRepresentation
bin11001100100011100…
…101110011001110000
32121212101112022210101
4121210130232121300
5422211443233342
620340201042144
71661235056335
oct314434563160
977771468711
1027455055472
1110709732599
1253a2786354
13278705a670
14148645898c
15aaa4c13b7
hex66472e670

27455055472 has 80 divisors (see below), whose sum is σ = 60027283008. Its totient is φ = 12069826560.

The previous prime is 27455055371. The next prime is 27455055493.

27455055472 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141038 + ... + 1164850.

Almost surely, 227455055472 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 27455055472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30013641504).

27455055472 is an abundant number, since it is smaller than the sum of its proper divisors (32572227536).

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

27455055472 is a wasteful number, since it uses less digits than its factorization.

27455055472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24098 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 1960000, while the sum is 46.

The spelling of 27455055472 in words is "twenty-seven billion, four hundred fifty-five million, fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 241 299 368 482 598 964 1196 1928 2392 3133 3856 4784 5543 6266 11086 12532 22172 23813 25064 44344 47626 50128 72059 88688 95252 144118 190504 288236 309569 381008 547699 576472 619138 1095398 1152944 1238276 2190796 2476552 4381592 4953104 5738933 7120087 8763184 11477866 14240174 22955732 28480348 45911464 56960696 74606129 91822928 113921392 131995459 149212258 263990918 298424516 527981836 596849032 1055963672 1193698064 1715940967 2111927344 3431881934 6863763868 13727527736 27455055472