Search a number
-
+
249383790312064 = 274290145414113
BaseRepresentation
bin111000101101000000110000…
…001110111111101010000000
31012200222212011010112210122121
4320231000300032333222000
5230141401000304441224
62242221155350414024
7103346245543103332
oct7055006016775200
91180885133483577
10249383790312064
1172509087233431
1223b782ba961314
13a91ca37a01625
144582350231452
151dc70a0c6abe4
hexe2d0303bfa80

249383790312064 has 32 divisors (see below), whose sum is σ = 496830861301140. Its totient is φ = 124688985907200.

The previous prime is 249383790312061. The next prime is 249383790312091. The reversal of 249383790312064 is 460213097383942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 239395409318464 + 9988380993600 = 15472408^2 + 3160440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 249383790311993 and 249383790312011.

It is not an unprimeable number, because it can be changed into a prime (249383790312061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17215729 + ... + 28198384.

Almost surely, 2249383790312064 is an apocalyptic number.

It is an amenable number.

249383790312064 is a deficient number, since it is larger than the sum of its proper divisors (247447070989076).

249383790312064 is an equidigital number, since it uses as much as digits as its factorization.

249383790312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45457028 (or 45457016 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 61.

The spelling of 249383790312064 in words is "two hundred forty-nine trillion, three hundred eighty-three billion, seven hundred ninety million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 42901 85802 171604 343208 686416 1372832 2745664 5491328 45414113 90828226 181656452 363312904 726625808 1453251616 2906503232 5813006464 1948310861813 3896621723626 7793243447252 15586486894504 31172973789008 62345947578016 124691895156032 249383790312064