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16451051076 = 2234293173293
BaseRepresentation
bin11110101001000111…
…10001111001000100
31120110111112222120000
433110203301321010
5232142432113301
611320231041300
71121446425015
oct172443617104
946414488500
1016451051076
116a8220a189
123231510230
131722360465
14b20c2500c
156643e0786
hex3d48f1e44

16451051076 has 60 divisors (see below), whose sum is σ = 43153325292. Its totient is φ = 5464936512.

The previous prime is 16451051063. The next prime is 16451051081. The reversal of 16451051076 is 67015015461.

It is a happy number.

16451051076 is a `hidden beast` number, since 1 + 64 + 5 + 10 + 510 + 76 = 666.

16451051076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8964302400 + 7486748676 = 94680^2 + 86526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16451051076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8286 + ... + 181578.

Almost surely, 216451051076 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 16451051076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576662646).

16451051076 is an abundant number, since it is smaller than the sum of its proper divisors (26702274216).

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

16451051076 is a wasteful number, since it uses less digits than its factorization.

16451051076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173602 (or 173591 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 16451051076 in words is "sixteen billion, four hundred fifty-one million, fifty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 293 324 586 879 1172 1758 2637 3516 5274 7911 10548 15822 23733 31644 47466 94932 173293 346586 519879 693172 1039758 1559637 2079516 3119274 4678911 6238548 9357822 14036733 18715644 28073466 50774849 56146932 101549698 152324547 203099396 304649094 456973641 609298188 913947282 1370920923 1827894564 2741841846 4112762769 5483683692 8225525538 16451051076