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814068148128 = 2538479876543
BaseRepresentation
bin10111101100010100011…
…11100010011110100000
32212211020210211201012220
423312022033202132200
5101314202421220003
61421551105351040
7112546240042104
oct13661217423640
92784223751186
10814068148128
112942762796a4
12111931938480
135b9c6729191
142b5888db904
15162983d7353
hexbd8a3e27a0

814068148128 has 24 divisors (see below), whose sum is σ = 2136928889088. Its totient is φ = 271356049344.

The previous prime is 814068148123. The next prime is 814068148181. The reversal of 814068148128 is 821841860418.

It is a happy number.

814068148128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (814068148123) 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, 4239938176 + ... + 4239938367.

It is an arithmetic number, because the mean of its divisors is an integer number (89038703712).

Almost surely, 2814068148128 is an apocalyptic number.

It is an amenable number.

814068148128 is an abundant number, since it is smaller than the sum of its proper divisors (1322860740960).

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

814068148128 is a wasteful number, since it uses less digits than its factorization.

814068148128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479876556 (or 8479876548 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 814068148128 in words is "eight hundred fourteen billion, sixty-eight million, one hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 8479876543 16959753086 25439629629 33919506172 50879259258 67839012344 101758518516 135678024688 203517037032 271356049376 407034074064 814068148128