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14578750464 = 2103191012473
BaseRepresentation
bin11011001001111011…
…00001010000000000
31101122000111020221220
431210331201100000
5214324130003324
610410345115040
71024163222445
oct154475412000
941560436856
1014578750464
116201363003
1229aa488a80
1314b44a7685
149c42cb9cc
155a4d54b79
hex364f61400

14578750464 has 176 divisors, whose sum is σ = 41324508480. Its totient is φ = 4556390400.

The previous prime is 14578750453. The next prime is 14578750489. The reversal of 14578750464 is 46405787541.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5893932 + ... + 5896404.

Almost surely, 214578750464 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 14578750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662254240).

14578750464 is an abundant number, since it is smaller than the sum of its proper divisors (26745758016).

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

14578750464 is a wasteful number, since it uses less digits than its factorization.

14578750464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

It can be divided in two parts, 145787 and 50464, that added together give a triangular number (196251 = T626).

The spelling of 14578750464 in words is "fourteen billion, five hundred seventy-eight million, seven hundred fifty thousand, four hundred sixty-four".