Search a number
-
+
56581114791552 = 2731321171774411
BaseRepresentation
bin11001101110101110100010…
…01111111000011010000000
321102100002202011200212210120
430313113101033320122000
524404011110341312202
6320201001051100240
714626564525233501
oct1467272117703200
9242302664625716
1056581114791552
1117034a0926244a
126419970a41680
132575764c94b00
14dd877d464ba8
15681c10a030bc
hex3375d13f8680

56581114791552 has 192 divisors, whose sum is σ = 162760019254560. Its totient is φ = 17407853998080.

The previous prime is 56581114791511. The next prime is 56581114791583. The reversal of 56581114791552 is 25519741118565.

56581114791552 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 (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760349227 + ... + 760423637.

Almost surely, 256581114791552 is an apocalyptic number.

56581114791552 is a gapful number since it is divisible by the number (52) 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 56581114791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81380009627280).

56581114791552 is an abundant number, since it is smaller than the sum of its proper divisors (106178904463008).

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

56581114791552 is a wasteful number, since it uses less digits than its factorization.

56581114791552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86171 (or 86146 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 60.

The spelling of 56581114791552 in words is "fifty-six trillion, five hundred eighty-one billion, one hundred fourteen million, seven hundred ninety-one thousand, five hundred fifty-two".