Search a number
-
+
605056010496 = 28371923325423
BaseRepresentation
bin10001100111000000010…
…01100000100100000000
32010211202101122000000020
420303200021200210000
534403123314313441
61141543042053440
761466565142260
oct10634011404400
92124671560006
10605056010496
1121366a387073
129932004a280
134509729a1b2
14213db9657a0
1510b13b89e66
hex8ce0260900

605056010496 has 288 divisors, whose sum is σ = 1945631600640. Its totient is φ = 163065249792.

The previous prime is 605056010491. The next prime is 605056010539. The reversal of 605056010496 is 694010650506.

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

It is not an unprimeable number, because it can be changed into a prime (605056010491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23786841 + ... + 23812263.

It is an arithmetic number, because the mean of its divisors is an integer number (6755665280).

Almost surely, 2605056010496 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 605056010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972815800320).

605056010496 is an abundant number, since it is smaller than the sum of its proper divisors (1340575590144).

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

605056010496 is a wasteful number, since it uses less digits than its factorization.

605056010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25701 (or 25687 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 605056010496 in words is "six hundred five billion, fifty-six million, ten thousand, four hundred ninety-six".