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273420433000 = 2353112131011721
BaseRepresentation
bin1111111010100100100…
…0001011011001101000
3222010202010210010100201
43332221020023121220
513434431112324000
6325335124441544
725516420222351
oct3765110133150
9863663703321
10273420433000
11a5a58785200
1244ba7b492b4
131ca25294b80
14d33b0a2d28
1571a3ec696a
hex3fa920b668

273420433000 has 384 divisors, whose sum is σ = 765294959520. Its totient is φ = 90816000000.

The previous prime is 273420432983. The next prime is 273420433019. The reversal of 273420433000 is 334024372.

273420433000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 23213124 + 273397219876 = 4818^2 + 522874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 273420433000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158872140 + ... + 158873860.

Almost surely, 2273420433000 is an apocalyptic number.

273420433000 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 273420433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382647479760).

273420433000 is an abundant number, since it is smaller than the sum of its proper divisors (491874526520).

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

273420433000 is a wasteful number, since it uses less digits than its factorization.

273420433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

Adding to 273420433000 its reverse (334024372), we get a palindrome (273754457372).

The spelling of 273420433000 in words is "two hundred seventy-three billion, four hundred twenty million, four hundred thirty-three thousand".