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16456246656 = 27383516323
BaseRepresentation
bin11110101001101111…
…00110010110000000
31120110212022221112220
433110313212112000
5232200244343111
611320534251040
71121541534333
oct172467462600
946425287486
1016456246656
116a85138753
1232331b6a80
13172345c275
14b217b861a
15664ab9e06
hex3d4de6580

16456246656 has 64 divisors (see below), whose sum is σ = 44238640320. Its totient is φ = 5419315712.

The previous prime is 16456246643. The next prime is 16456246699. The reversal of 16456246656 is 65664265461.

16456246656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×164562466562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16456246599 and 16456246608.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 226290 + ... + 290033.

It is an arithmetic number, because the mean of its divisors is an integer number (691228755).

Almost surely, 216456246656 is an apocalyptic number.

16456246656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16456246656 is an abundant number, since it is smaller than the sum of its proper divisors (27782393664).

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

16456246656 is an equidigital number, since it uses as much as digits as its factorization.

16456246656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516423 (or 516411 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 16456246656 in words is "sixteen billion, four hundred fifty-six million, two hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 10624 15936 31872 516323 1032646 1548969 2065292 3097938 4130584 6195876 8261168 12391752 16522336 24783504 33044672 42854809 49567008 66089344 85709618 99134016 128564427 171419236 198268032 257128854 342838472 514257708 685676944 1028515416 1371353888 2057030832 2742707776 4114061664 5485415552 8228123328 16456246656