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56788063233408 = 27321322031721261
BaseRepresentation
bin11001110100110000000000…
…10101100010010110000000
321110001212220202200222121100
430322120000111202112000
524420403423141432113
6320440024234254400
714650542101042463
oct1472300025422600
9243055822628540
1056788063233408
1117104756262881
126451aa7587400
13258c125a07530
1410047b22c12da
156872c3ea9d73
hex33a600562580

56788063233408 has 192 divisors, whose sum is σ = 176063827801680. Its totient is φ = 17465308508160.

The previous prime is 56788063233301. The next prime is 56788063233409. The reversal of 56788063233408 is 80433236088765.

56788063233408 is a `hidden beast` number, since 5 + 6 + 78 + 80 + 63 + 23 + 3 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56788063233409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32131498 + ... + 33852758.

Almost surely, 256788063233408 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 56788063233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88031913900840).

56788063233408 is an abundant number, since it is smaller than the sum of its proper divisors (119275764568272).

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

56788063233408 is a wasteful number, since it uses less digits than its factorization.

56788063233408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723497 (or 1723482 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 56788063233408 in words is "fifty-six trillion, seven hundred eighty-eight billion, sixty-three million, two hundred thirty-three thousand, four hundred eight".