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14723072064 = 2632238912487
BaseRepresentation
bin11011011011001000…
…00100000001000000
31102000002001112222100
431231210010001000
5220123101301224
610432542310400
71030565022231
oct155544040100
942002045870
1014723072064
116275876a58
122a2a888400
131508368a7c
149d9539088
155b2861ac9
hex36d904040

14723072064 has 168 divisors, whose sum is σ = 44534206080. Its totient is φ = 4641196032.

The previous prime is 14723072029. The next prime is 14723072069. The reversal of 14723072064 is 46027032741.

14723072064 is a `hidden beast` number, since 147 + 2 + 307 + 206 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14723072069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172829 + ... + 1185315.

It is an arithmetic number, because the mean of its divisors is an integer number (265084560).

Almost surely, 214723072064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14723072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22267103040).

14723072064 is an abundant number, since it is smaller than the sum of its proper divisors (29811134016).

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

14723072064 is a wasteful number, since it uses less digits than its factorization.

14723072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12604 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 14723072064 in words is "fourteen billion, seven hundred twenty-three million, seventy-two thousand, sixty-four".