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14925382416 = 243274726703
BaseRepresentation
bin11011110011001111…
…10100001100010000
31102112011201222121100
431321213310030100
5221031344214131
610505010424400
71035602441310
oct157147641420
942464658540
1014925382416
116369a9779a
122a86592100
13153b251839
14a1835d440
155c54c57e6
hex3799f4310

14925382416 has 180 divisors, whose sum is σ = 48782111872. Its totient is φ = 4173040512.

The previous prime is 14925382403. The next prime is 14925382429. The reversal of 14925382416 is 61428352941.

14925382416 is a `hidden beast` number, since 1 + 4 + 92 + 538 + 24 + 1 + 6 = 666.

14925382416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14925382403) and next prime (14925382429).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2223321 + ... + 2230023.

Almost surely, 214925382416 is an apocalyptic number.

14925382416 is a gapful number since it is divisible by the number (16) 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 14925382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391055936).

14925382416 is an abundant number, since it is smaller than the sum of its proper divisors (33856729456).

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

14925382416 is a wasteful number, since it uses less digits than its factorization.

14925382416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6762 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 14925382416 in words is "fourteen billion, nine hundred twenty-five million, three hundred eighty-two thousand, four hundred sixteen".