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14910718680 = 233351121367131
BaseRepresentation
bin11011110001011111…
…11000001011011000
31102111011010222202000
431320233320023120
5221014120444210
610503324241000
71035334006014
oct157057701330
942434128660
1014910718680
116361791700
122a816a0160
1315381b9280
14a16423544
155c407aac0
hex378bf82d8

14910718680 has 768 divisors, whose sum is σ = 60167923200. Its totient is φ = 3261772800.

The previous prime is 14910718661. The next prime is 14910718687. The reversal of 14910718680 is 8681701941.

It is a happy number.

14910718680 is a `hidden beast` number, since 1 + 491 + 0 + 7 + 1 + 86 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14910718687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113822215 + ... + 113822345.

It is an arithmetic number, because the mean of its divisors is an integer number (78343650).

Almost surely, 214910718680 is an apocalyptic number.

14910718680 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 14910718680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083961600).

14910718680 is an abundant number, since it is smaller than the sum of its proper divisors (45257204520).

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

14910718680 is a wasteful number, since it uses less digits than its factorization.

14910718680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 14910718680 in words is "fourteen billion, nine hundred ten million, seven hundred eighteen thousand, six hundred eighty".