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16450728840 = 233257213233119
BaseRepresentation
bin11110101001000101…
…00011001110001000
31120110110221121112100
433110202203032020
5232142341310330
611320220113400
71121443613400
oct172442431610
946413847470
1016450728840
116a8200a077
123231395860
1317222798a0
14b20b7d800
1566437a060
hex3d48a3388

16450728840 has 576 divisors, whose sum is σ = 69912460800. Its totient is φ = 3318948864.

The previous prime is 16450728809. The next prime is 16450728869. The reversal of 16450728840 is 4882705461.

16450728840 is a `hidden beast` number, since 1 + 64 + 507 + 2 + 8 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5272801 + ... + 5275919.

It is an arithmetic number, because the mean of its divisors is an integer number (121375800).

Almost surely, 216450728840 is an apocalyptic number.

16450728840 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 16450728840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34956230400).

16450728840 is an abundant number, since it is smaller than the sum of its proper divisors (53461731960).

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

16450728840 is a wasteful number, since it uses less digits than its factorization.

16450728840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 16450728840 in words is "sixteen billion, four hundred fifty million, seven hundred twenty-eight thousand, eight hundred forty".