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16646420440 = 2351349964153
BaseRepresentation
bin11111000000011010…
…00011011111011000
31120222010011202221101
433200031003133120
5233042440423230
611351450321144
71126341145006
oct174015033730
946863152841
1016646420440
11707251a071
123286a291b4
131753985b30
14b3cb5da76
15676632aca
hex3e03437d8

16646420440 has 64 divisors (see below), whose sum is σ = 40417020000. Its totient is φ = 6133957632.

The previous prime is 16646420369. The next prime is 16646420447. The reversal of 16646420440 is 4402464661.

16646420440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16646420440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16646420447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 227404 + ... + 291556.

Almost surely, 216646420440 is an apocalyptic number.

16646420440 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 16646420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208510000).

16646420440 is an abundant number, since it is smaller than the sum of its proper divisors (23770599560).

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

16646420440 is a wasteful number, since it uses less digits than its factorization.

16646420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64676 (or 64672 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 16646420440 in words is "sixteen billion, six hundred forty-six million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 499 520 998 1996 2495 3992 4990 6487 9980 12974 19960 25948 32435 51896 64153 64870 128306 129740 256612 259480 320765 513224 641530 833989 1283060 1667978 2566120 3335956 4169945 6671912 8339890 16679780 32012347 33359560 64024694 128049388 160061735 256098776 320123470 416160511 640246940 832321022 1280493880 1664642044 2080802555 3329284088 4161605110 8323210220 16646420440