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80194339008000 = 29365374153113
BaseRepresentation
bin10010001110111110110011…
…000101101110111000000000
3101111221111121100222112000000
4102032332303011232320000
541002401001241224000
6442320434252000000
722614564323332440
oct2216766305567000
9344844540875000
1080194339008000
1123609256787258
128bb2249a60000
1335993a83c0589
1415b35d8cb2120
1594108addc000
hex48efb316ee00

80194339008000 has 4480 divisors, whose sum is σ = 360793149260544. Its totient is φ = 17390370816000.

The previous prime is 80194339007987. The next prime is 80194339008001. The reversal of 80194339008000 is 80093349108.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×801943390080002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80194339008001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 709684415944 + ... + 709684416056.

Almost surely, 280194339008000 is an apocalyptic number.

80194339008000 is a gapful number since it is divisible by the number (80) 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 80194339008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180396574630272).

80194339008000 is an abundant number, since it is smaller than the sum of its proper divisors (280598810252544).

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

80194339008000 is an equidigital number, since it uses as much as digits as its factorization.

80194339008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 80194339008000 in words is "eighty trillion, one hundred ninety-four billion, three hundred thirty-nine million, eight thousand".