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116566643503200 = 253521110165716653
BaseRepresentation
bin11010100000010001001001…
…011000001111000001100000
3120021201122212210210210010010
4122200101021120033001200
5110234311441214100300
61051525550551404520
733360443043401202
oct3240211130170140
9507648783723103
10116566643503200
11341616aa40a410
12110a7491083740
1350072586c2a87
1420adbd9c84772
15d72274dcba50
hex6a044960f060

116566643503200 has 576 divisors, whose sum is σ = 418142203686144. Its totient is φ = 27970329600000.

The previous prime is 116566643503117. The next prime is 116566643503201. The reversal of 116566643503200 is 2305346665611.

116566643503200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 116566643503200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116566643503201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17520911074 + ... + 17520917726.

It is an arithmetic number, because the mean of its divisors is an integer number (725941325844).

Almost surely, 2116566643503200 is an apocalyptic number.

116566643503200 is a gapful number since it is divisible by the number (10) 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 116566643503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209071101843072).

116566643503200 is an abundant number, since it is smaller than the sum of its proper divisors (301575560182944).

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

116566643503200 is a wasteful number, since it uses less digits than its factorization.

116566643503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 116566643503200 in words is "one hundred sixteen trillion, five hundred sixty-six billion, six hundred forty-three million, five hundred three thousand, two hundred".