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373730434416 = 243219731999403
BaseRepresentation
bin1010111000001000001…
…00011101110101110000
31022201122220202011121100
411130010010131311300
522110344442400131
6443404524124400
736000250164153
oct5340404356560
91281586664540
10373730434416
111345530a5a19
1260521696700
13293200947b1
141413537bc9a
159ac55487e6
hex570411dd70

373730434416 has 240 divisors, whose sum is σ = 1121784352000. Its totient is φ = 115806163968.

The previous prime is 373730434373. The next prime is 373730434421. The reversal of 373730434416 is 614434037373.

It is a happy number.

It is a super-2 number, since 2×3737304344162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39741171 + ... + 39750573.

Almost surely, 2373730434416 is an apocalyptic number.

373730434416 is a gapful number since it is divisible by the number (36) 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 373730434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560892176000).

373730434416 is an abundant number, since it is smaller than the sum of its proper divisors (748053917584).

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

373730434416 is a wasteful number, since it uses less digits than its factorization.

373730434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 373730434416 in words is "three hundred seventy-three billion, seven hundred thirty million, four hundred thirty-four thousand, four hundred sixteen".