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271372285472 = 2517254172
BaseRepresentation
bin1111110010111100001…
…1000111011000100000
3221221110101211110010212
43330233003013120200
513421232301113342
6324400001513252
725414600236641
oct3745703073040
9857411743125
10271372285472
11a50a76426a2
1244716042828
131c789b60662
14d1c50736c8
1570d42a3182
hex3f2f0c7620

271372285472 has 54 divisors (see below), whose sum is σ = 567644946687. Its totient is φ = 127681030144.

The previous prime is 271372285447. The next prime is 271372285487. The reversal of 271372285472 is 274582273172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

271372285472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 82665450256 + 188706835216 = 287516^2 + 434404^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=368356.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 271372285472.

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 8 ways as a sum of consecutive naturals, for example, 50093708 + ... + 50099124.

Almost surely, 2271372285472 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 271372285472

271372285472 is an abundant number, since it is smaller than the sum of its proper divisors (296272661215).

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

271372285472 is an frugal number, since it uses more digits than its factorization.

271372285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10878 (or 5436 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 50.

Multiplying 271372285472 by its sum of digits (50), we get a square (13568614273600 = 36835602).

The spelling of 271372285472 in words is "two hundred seventy-one billion, three hundred seventy-two million, two hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 5417 9248 10834 21668 43336 86672 92089 173344 184178 368356 736712 1473424 1565513 2946848 3131026 6262052 12524104 25048208 29343889 50096416 58687778 117375556 234751112 469502224 498846113 939004448 997692226 1995384452 3990768904 7981537808 8480383921 15963075616 16960767842 33921535684 67843071368 135686142736 271372285472