Search a number
-
+
270643490208 = 2532713314361127
BaseRepresentation
bin1111110000001110011…
…0111110110110100000
3221212120121110210222200
43330003212332312200
513413234213141313
6324155405133200
725360540465260
oct3740346766640
9855517423880
10270643490208
11a4863215a63
1244551b5a200
131c6a1b7b760
14d1563617a0
1570902e3b73
hex3f039beda0

270643490208 has 1152 divisors, whose sum is σ = 1024958398464. Its totient is φ = 65840947200.

The previous prime is 270643490189. The next prime is 270643490231. The reversal of 270643490208 is 802094346072.

270643490208 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 434 + 9 + 0 + 208 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2131051041 + ... + 2131051167.

It is an arithmetic number, because the mean of its divisors is an integer number (889720832).

Almost surely, 2270643490208 is an apocalyptic number.

270643490208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270643490208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512479199232).

270643490208 is an abundant number, since it is smaller than the sum of its proper divisors (754314908256).

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

270643490208 is a wasteful number, since it uses less digits than its factorization.

270643490208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 270643490208 in words is "two hundred seventy billion, six hundred forty-three million, four hundred ninety thousand, two hundred eight".