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203161996800 = 293552723143
BaseRepresentation
bin1011110100110101100…
…1100000111000000000
3201102101201010202200000
42331031121200320000
511312033432344200
6233155322400000
720451354323400
oct2751531407000
9642351122600
10203161996800
11791847181a4
123345a660000
1316209442cb9
149b94016800
155440d67300
hex2f4d660e00

203161996800 has 2160 divisors, whose sum is σ = 926437704192. Its totient is φ = 43893964800.

The previous prime is 203161996789. The next prime is 203161996841. The reversal of 203161996800 is 8699161302.

It is a happy number.

203161996800 is a `hidden beast` number, since 20 + 3 + 1 + 619 + 9 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4724697579 + ... + 4724697621.

Almost surely, 2203161996800 is an apocalyptic number.

203161996800 is a gapful number since it is divisible by the number (20) 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 203161996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463218852096).

203161996800 is an abundant number, since it is smaller than the sum of its proper divisors (723275707392).

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

203161996800 is an equidigital number, since it uses as much as digits as its factorization.

203161996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 203161996800 in words is "two hundred three billion, one hundred sixty-one million, nine hundred ninety-six thousand, eight hundred".