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370413000000 = 26345617269
BaseRepresentation
bin1010110001111100101…
…01011101010101000000
31022102002201102001010000
411120332111131111000
522032101212000000
6442055420040000
735522115356541
oct5307625352500
91272081361100
10370413000000
1113310053338a
125b956693000
1328c119b9a54
1413cdc9444c8
15997e1a0000
hex563e55d540

370413000000 has 980 divisors, whose sum is σ = 1458645782220. Its totient is φ = 92620800000.

The previous prime is 370412999993. The next prime is 370413000047. The reversal of 370413000000 is 314073.

It can be written as a sum of positive squares in 14 ways, for example, as 272183410944 + 98229589056 = 521712^2 + 313416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 139 ways as a sum of consecutive naturals, for example, 1376999866 + ... + 1377000134.

Almost surely, 2370413000000 is an apocalyptic number.

370413000000 is a gapful number since it is divisible by the number (30) 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 370413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729322891110).

370413000000 is an abundant number, since it is smaller than the sum of its proper divisors (1088232782220).

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

370413000000 is an frugal number, since it uses more digits than its factorization.

370413000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Adding to 370413000000 its reverse (314073), we get a palindrome (370413314073).

The spelling of 370413000000 in words is "three hundred seventy billion, four hundred thirteen million", and thus it is an aban number.