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14738195808 = 253372699059
BaseRepresentation
bin11011011100111011…
…10000010101100000
31102001010111220212000
431232131300111200
5220140434231213
610434242404000
71031140411620
oct155635602540
942033456760
1014738195808
116283366716
122a33960600
13150b53282b
149db554880
155b3d4cc73
hex36e770560

14738195808 has 192 divisors, whose sum is σ = 49315392000. Its totient is φ = 4194796032.

The previous prime is 14738195803. The next prime is 14738195809. The reversal of 14738195808 is 80859183741.

14738195808 is a `hidden beast` number, since 1 + 47 + 3 + 8 + 19 + 580 + 8 = 666.

14738195808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14738195803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1622383 + ... + 1631441.

It is an arithmetic number, because the mean of its divisors is an integer number (256851000).

Almost surely, 214738195808 is an apocalyptic number.

14738195808 is a gapful number since it is divisible by the number (18) 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 14738195808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24657696000).

14738195808 is an abundant number, since it is smaller than the sum of its proper divisors (34577196192).

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

14738195808 is a wasteful number, since it uses less digits than its factorization.

14738195808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 14738195808 in words is "fourteen billion, seven hundred thirty-eight million, one hundred ninety-five thousand, eight hundred eight".