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56336769216 = 26337213231127
BaseRepresentation
bin110100011101111011…
…101110000011000000
312101102012120101211000
4310131323232003000
51410334203103331
641514124252000
74033035431400
oct643573560300
9171365511730
1056336769216
112198a701602
12ab030a1000
13540a83b700
142a26164800
1516ead510e6
hexd1deee0c0

56336769216 has 1008 divisors, whose sum is σ = 217044910080. Its totient is φ = 14265538560.

The previous prime is 56336769211. The next prime is 56336769221. The reversal of 56336769216 is 61296763365.

56336769216 is a `hidden beast` number, since 5 + 6 + 3 + 367 + 69 + 216 = 666.

56336769216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56336769211) and next prime (56336769221).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56336769211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 443596545 + ... + 443596671.

Almost surely, 256336769216 is an apocalyptic number.

56336769216 is a gapful number since it is divisible by the number (56) 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 56336769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108522455040).

56336769216 is an abundant number, since it is smaller than the sum of its proper divisors (160708140864).

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

56336769216 is a wasteful number, since it uses less digits than its factorization.

56336769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The spelling of 56336769216 in words is "fifty-six billion, three hundred thirty-six million, seven hundred sixty-nine thousand, two hundred sixteen".