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56073211740 = 2233572131743223
BaseRepresentation
bin110100001110001110…
…010100111101011100
312100201211122021221000
4310032032110331130
51404314220233430
641432031310300
74023355302300
oct641616247534
9170654567830
1056073211740
1121864958a07
12aa4a97b390
135398060140
1429dd159d00
1516d2b3ee60
hexd0e394f5c

56073211740 has 1152 divisors, whose sum is σ = 237840261120. Its totient is φ = 10827177984.

The previous prime is 56073211717. The next prime is 56073211741. The reversal of 56073211740 is 4711237065.

It is a happy number.

56073211740 is a `hidden beast` number, since 5 + 607 + 3 + 2 + 1 + 1 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56073211695 and 56073211704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56073211741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 251449269 + ... + 251449491.

It is an arithmetic number, because the mean of its divisors is an integer number (206458560).

Almost surely, 256073211740 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 56073211740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118920130560).

56073211740 is an abundant number, since it is smaller than the sum of its proper divisors (181767049380).

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

56073211740 is a wasteful number, since it uses less digits than its factorization.

56073211740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 56073211740 in words is "fifty-six billion, seventy-three million, two hundred eleven thousand, seven hundred forty".