Search a number
-
+
273898340352 = 216387213
BaseRepresentation
bin1111111100010110011…
…1010000000000000000
3222011222110001100000000
43333011213100000000
513441420433342402
6325454400000000
725534312323300
oct3770547200000
9864873040000
10273898340352
11a618352205a
1245100000000
131caa02b31a0
14d384747600
1571d0e28c1c
hex3fc59d0000

273898340352 has 918 divisors, whose sum is σ = 1029316029378. Its totient is φ = 72236924928.

The previous prime is 273898340327. The next prime is 273898340369. The reversal of 273898340352 is 253043898372.

It can be written as a sum of positive squares in only one way, i.e., 189621927936 + 84276412416 = 435456^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21069103098 + ... + 21069103110.

Almost surely, 2273898340352 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 273898340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514658014689).

273898340352 is an abundant number, since it is smaller than the sum of its proper divisors (755417689026).

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

273898340352 is an frugal number, since it uses more digits than its factorization.

273898340352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 273898340352 in words is "two hundred seventy-three billion, eight hundred ninety-eight million, three hundred forty thousand, three hundred fifty-two".