Search a number
-
+
16508783340 = 2235571273821
BaseRepresentation
bin11110110000000000…
…00000101011101100
31120121112012002100000
433120000000223230
5232302222031330
611330052304300
71123050225450
oct173000005354
946545162300
1016508783340
1170018612a5
123248912090
1317312c516a
14b28772660
156694e6560
hex3d8000aec

16508783340 has 288 divisors, whose sum is σ = 59833073664. Its totient is φ = 3742744320.

The previous prime is 16508783297. The next prime is 16508783381. The reversal of 16508783340 is 4338780561.

16508783340 is a `hidden beast` number, since 1 + 6 + 508 + 78 + 33 + 40 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4318630 + ... + 4322450.

It is an arithmetic number, because the mean of its divisors is an integer number (207753728).

Almost surely, 216508783340 is an apocalyptic number.

16508783340 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 16508783340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29916536832).

16508783340 is an abundant number, since it is smaller than the sum of its proper divisors (43324290324).

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

16508783340 is a wasteful number, since it uses less digits than its factorization.

16508783340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16508783340 in words is "sixteen billion, five hundred eight million, seven hundred eighty-three thousand, three hundred forty".