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14782000350 = 23521329436079
BaseRepresentation
bin11011100010001001…
…10110110011011110
31102011011221102101110
431301010312303132
5220233143002400
610442445322450
71032211633635
oct156104666336
942134842343
1014782000350
1162a6065717
122a46566426
13151762bc90
14a032b851c
155b7b01e50
hex371136cde

14782000350 has 192 divisors, whose sum is σ = 41797324800. Its totient is φ = 3430909440.

The previous prime is 14782000333. The next prime is 14782000367. The reversal of 14782000350 is 5300028741.

It is an interprime number because it is at equal distance from previous prime (14782000333) and next prime (14782000367).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 2428611 + ... + 2434689.

It is an arithmetic number, because the mean of its divisors is an integer number (217694400).

Almost surely, 214782000350 is an apocalyptic number.

14782000350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14782000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20898662400).

14782000350 is an abundant number, since it is smaller than the sum of its proper divisors (27015324450).

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

14782000350 is a wasteful number, since it uses less digits than its factorization.

14782000350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 14782000350 in words is "fourteen billion, seven hundred eighty-two million, three hundred fifty", and thus it is an aban number.