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14690350080 = 2103357171947
BaseRepresentation
bin11011010111001110…
…01111010000000000
31101220210111002212000
431223213033100000
5220041212200310
610425413104000
71030016625660
oct155347172000
941823432760
1014690350080
11625935749a
122a1b928000
13150164cb53
149d505c1a0
155aea4b4c0
hex36b9cf400

14690350080 has 1408 divisors, whose sum is σ = 67914547200. Its totient is φ = 2930245632.

The previous prime is 14690350049. The next prime is 14690350133. The reversal of 14690350080 is 8005309641.

14690350080 is a `hidden beast` number, since 14 + 69 + 0 + 3 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 312560617 + ... + 312560663.

Almost surely, 214690350080 is an apocalyptic number.

14690350080 is a gapful number since it is divisible by the number (10) 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 14690350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33957273600).

14690350080 is an abundant number, since it is smaller than the sum of its proper divisors (53224197120).

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

14690350080 is a wasteful number, since it uses less digits than its factorization.

14690350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14690350080 in words is "fourteen billion, six hundred ninety million, three hundred fifty thousand, eighty".