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56793786221808 = 2432173779103263293
BaseRepresentation
bin11001110100111010101010…
…11101000000010011110000
321110002102200121111220210200
430322131111131000103300
524421002133233044213
6320442412153555200
714651133652455036
oct1472352535002360
9243072617456720
1056793786221808
1117107122790759
126453024115b00
13258c828593bbc
141004b963c2556
1568750b625273
hex33a7557404f0

56793786221808 has 960 divisors, whose sum is σ = 178006446858240. Its totient is φ = 16828392701952.

The previous prime is 56793786221801. The next prime is 56793786221857. The reversal of 56793786221808 is 80812268739765.

56793786221808 is a `hidden beast` number, since 5 + 6 + 79 + 378 + 6 + 2 + 2 + 180 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56793786221801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 193835447710 + ... + 193835448002.

It is an arithmetic number, because the mean of its divisors is an integer number (185423382144).

Almost surely, 256793786221808 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 56793786221808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89003223429120).

56793786221808 is an abundant number, since it is smaller than the sum of its proper divisors (121212660636432).

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

56793786221808 is a wasteful number, since it uses less digits than its factorization.

56793786221808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 56793786221808 in words is "fifty-six trillion, seven hundred ninety-three billion, seven hundred eighty-six million, two hundred twenty-one thousand, eight hundred eight".