Search a number
-
+
273243055470000 = 243547112173791669
BaseRepresentation
bin111110001000001101011011…
…010000100011010110110000
31022211110210002100021021200120
4332020031123100203112300
5241303303234200020000
62405050043214450240
7111361105431534360
oct7610153320432660
91284423070237616
10273243055470000
117a077802421200
1226790402503980
13b96092bc007c5
144b6906a7569a0
15218ca2b5d46a0
hexf8835b4235b0

273243055470000 has 2400 divisors, whose sum is σ = 1177028340364800. Its totient is φ = 53264977920000.

The previous prime is 273243055469981. The next prime is 273243055470043. The reversal of 273243055470000 is 74550342372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 163716629166 + ... + 163716630834.

It is an arithmetic number, because the mean of its divisors is an integer number (490428475152).

Almost surely, 2273243055470000 is an apocalyptic number.

273243055470000 is a gapful number since it is divisible by the number (20) 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 273243055470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588514170182400).

273243055470000 is an abundant number, since it is smaller than the sum of its proper divisors (903785284894800).

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

273243055470000 is a wasteful number, since it uses less digits than its factorization.

273243055470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 273243055470000 in words is "two hundred seventy-three trillion, two hundred forty-three billion, fifty-five million, four hundred seventy thousand".