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56006144311032 = 23327444110449391
BaseRepresentation
bin11001011101111111100100…
…10101100011111011111000
321100022010122111022011020100
430232333302111203323320
524320101040420423112
6315040511214155400
714540211315624456
oct1456776225437370
9240263574264210
1056006144311032
1116933088428343
1263464484b2b60
132533483a08176
14db89d744d9d6
15671cad2392dc
hex32eff2563ef8

56006144311032 has 48 divisors (see below), whose sum is σ = 151685359656480. Its totient is φ = 18668462198400.

The previous prime is 56006144311031. The next prime is 56006144311067. The reversal of 56006144311032 is 23011344160065.

56006144311032 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 614 + 4 + 3 + 1 + 1 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006144311031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135057 + ... + 10584447.

It is an arithmetic number, because the mean of its divisors is an integer number (3160111659510).

Almost surely, 256006144311032 is an apocalyptic number.

It is an amenable number.

56006144311032 is an abundant number, since it is smaller than the sum of its proper divisors (95679215345448).

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

56006144311032 is a wasteful number, since it uses less digits than its factorization.

56006144311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10523844 (or 10523837 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 56006144311032 its reverse (23011344160065), we get a palindrome (79017488471097).

The spelling of 56006144311032 in words is "fifty-six trillion, six billion, one hundred forty-four million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 74441 148882 223323 297764 446646 595528 669969 893292 1339938 1786584 2679876 5359752 10449391 20898782 31348173 41797564 62696346 83595128 94044519 125392692 188089038 250785384 376178076 752356152 777863115431 1555726230862 2333589346293 3111452461724 4667178692586 6222904923448 7000768038879 9334357385172 14001536077758 18668714770344 28003072155516 56006144311032