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16424976384 = 214322329167
BaseRepresentation
bin11110100110000000…
…10100000000000000
31120101200111020210200
433103000110000000
5232114243221014
611313500125200
71121011665345
oct172300240000
946350436720
1016424976384
116a6951a953
123224836800
131719b3104b
14b1b5987cc
15661e8ea09
hex3d3014000

16424976384 has 360 divisors, whose sum is σ = 51525452160. Its totient is φ = 5026086912.

The previous prime is 16424976353. The next prime is 16424976461. The reversal of 16424976384 is 48367942461.

16424976384 is a `hidden beast` number, since 16 + 4 + 2 + 497 + 63 + 84 = 666.

Its product of digits (6967296) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 16424976384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98353069 + ... + 98353235.

It is an arithmetic number, because the mean of its divisors is an integer number (143126256).

Almost surely, 216424976384 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 16424976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25762726080).

16424976384 is an abundant number, since it is smaller than the sum of its proper divisors (35100475776).

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

16424976384 is a wasteful number, since it uses less digits than its factorization.

16424976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 16424976384 in words is "sixteen billion, four hundred twenty-four million, nine hundred seventy-six thousand, three hundred eighty-four".