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16646464416 = 253285160821
BaseRepresentation
bin11111000000011010…
…01110001110100000
31120222010021000021010
433200031032032200
5233042443330131
611351451300520
71126341420141
oct174015161640
946863230233
1016646464416
11707254a10a
123286a4a740
13175399cb5a
14b3cb71ac8
15676640b46
hex3e034e3a0

16646464416 has 48 divisors (see below), whose sum is σ = 43713014688. Its totient is φ = 5546784000.

The previous prime is 16646464409. The next prime is 16646464427. The reversal of 16646464416 is 61446464661.

16646464416 is a nontrivial binomial coefficient, being equal to C(182464, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243286 + ... + 304106.

It is an arithmetic number, because the mean of its divisors is an integer number (910687806).

Almost surely, 216646464416 is an apocalyptic number.

16646464416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16646464416 is the 182463-rd triangular number and also the 91232-nd hexagonal number.

It is an amenable number.

16646464416 is an abundant number, since it is smaller than the sum of its proper divisors (27066550272).

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

16646464416 is a wasteful number, since it uses less digits than its factorization.

16646464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63685 (or 63677 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 16646464416 in words is "sixteen billion, six hundred forty-six million, four hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2851 5702 8553 11404 17106 22808 34212 45616 60821 68424 91232 121642 136848 182463 243284 273696 364926 486568 729852 973136 1459704 1946272 2919408 5838816 173400671 346801342 520202013 693602684 1040404026 1387205368 2080808052 2774410736 4161616104 5548821472 8323232208 16646464416