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14487094272 = 2103717231723
BaseRepresentation
bin11010111110111111…
…11000010000000000
31101101122000122022010
431133133320100000
5214132144004042
610353312412520
71022001161310
oct153737702000
941348018263
1014487094272
116164650392
122983847140
13149b4c5941
149b606d440
1559bc9c59c
hex35f7f8400

14487094272 has 352 divisors, whose sum is σ = 48785283072. Its totient is φ = 3724148736.

The previous prime is 14487094241. The next prime is 14487094291. The reversal of 14487094272 is 27249078441.

14487094272 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 (48).

It is an unprimeable number.

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, 8407203 + ... + 8408925.

Almost surely, 214487094272 is an apocalyptic number.

14487094272 is a gapful number since it is divisible by the number (12) 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 14487094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392641536).

14487094272 is an abundant number, since it is smaller than the sum of its proper divisors (34298188800).

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

14487094272 is a wasteful number, since it uses less digits than its factorization.

14487094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 14487094272 in words is "fourteen billion, four hundred eighty-seven million, ninety-four thousand, two hundred seventy-two".