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56353364100 = 2232521110156359
BaseRepresentation
bin110100011110111011…
…000001100010000100
312101110100210111201100
4310132323001202010
51410402430122400
641515520100100
74033326456105
oct643673014204
9171410714640
1056353364100
1121999006590
12ab08764630
1354110cbc77
142a284443ac
1516ec52d100
hexd1eec1884

56353364100 has 216 divisors, whose sum is σ = 194605669440. Its totient is φ = 13525920000.

The previous prime is 56353364099. The next prime is 56353364191. The reversal of 56353364100 is 146335365.

56353364100 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 3 + 3 + 641 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 971721 + ... + 1028079.

Almost surely, 256353364100 is an apocalyptic number.

56353364100 is a gapful number since it is divisible by the number (50) 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 56353364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97302834720).

56353364100 is an abundant number, since it is smaller than the sum of its proper divisors (138252305340).

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

56353364100 is a wasteful number, since it uses less digits than its factorization.

56353364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56491 (or 56481 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 56353364100 its reverse (146335365), we get a palindrome (56499699465).

The spelling of 56353364100 in words is "fifty-six billion, three hundred fifty-three million, three hundred sixty-four thousand, one hundred".