Search a number
-
+
243112063074176 = 2731297120622067
BaseRepresentation
bin110111010001101111110000…
…001010001111111110000000
31011212210021201200021100102202
4313101233300022033332000
5223331122001121333201
62221020050121532332
7102131160362140412
oct6721576012177600
91155707650240382
10243112063074176
117051027976138a
12233248b60440a8
13a5864a5112a8a
1444069881b29b2
151d18d817b8c6b
hexdd1bf028ff80

243112063074176 has 64 divisors (see below), whose sum is σ = 500116494543360. Its totient is φ = 117595269158400.

The previous prime is 243112063074157. The next prime is 243112063074187. The reversal of 243112063074176 is 671470360211342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 243112063074176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477895 + ... + 22099961.

It is an arithmetic number, because the mean of its divisors is an integer number (7814320227240).

Almost surely, 2243112063074176 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 243112063074176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250058247271680).

243112063074176 is an abundant number, since it is smaller than the sum of its proper divisors (257004431469184).

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

243112063074176 is a wasteful number, since it uses less digits than its factorization.

243112063074176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20625083 (or 20625071 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 243112063074176 in words is "two hundred forty-three trillion, one hundred twelve billion, sixty-three million, seventy-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 2971 3968 5942 11884 23768 47536 92101 95072 184202 190144 368404 380288 736808 1473616 2947232 5894464 11788928 20622067 41244134 82488268 164976536 329953072 639284077 659906144 1278568154 1319812288 2557136308 2639624576 5114272616 10228545232 20457090464 40914180928 61268161057 81828361856 122536322114 245072644228 490145288456 980290576912 1899312992767 1960581153824 3798625985534 3921162307648 7597251971068 7842324615296 15194503942136 30389007884272 60778015768544 121556031537088 243112063074176