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14743408680 = 2332571113163251
BaseRepresentation
bin11011011101100011…
…01001000000101000
31102001111022202120100
431232301221000220
5220143303034210
610434550225400
71031232622530
oct155661510050
942044282510
1014743408680
1162862a7180
122a35655260
13150c639480
149dc1104c0
155b452c5c0
hex36ec69028

14743408680 has 768 divisors, whose sum is σ = 64987453440. Its totient is φ = 2799360000.

The previous prime is 14743408657. The next prime is 14743408681. The reversal of 14743408680 is 8680434741.

14743408680 is a `hidden beast` number, since 147 + 43 + 408 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14743408681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58738555 + ... + 58738805.

It is an arithmetic number, because the mean of its divisors is an integer number (84619080).

Almost surely, 214743408680 is an apocalyptic number.

14743408680 is a gapful number since it is divisible by the number (10) 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 14743408680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32493726720).

14743408680 is an abundant number, since it is smaller than the sum of its proper divisors (50244044760).

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

14743408680 is a wasteful number, since it uses less digits than its factorization.

14743408680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14743408680 in words is "fourteen billion, seven hundred forty-three million, four hundred eight thousand, six hundred eighty".