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2043414016 = 2972812029
BaseRepresentation
bin111100111001100…
…0000011000000000
312021102001012001121
41321303000120000
513141103222031
6534433242024
7101431506160
oct17163003000
95242035047
102043414016
119594aa216
12490403314
13267467b27
1415555a5a0
15be5db011
hex79cc0600

2043414016 has 80 divisors (see below), whose sum is σ = 4685012640. Its totient is φ = 872202240.

The previous prime is 2043414007. The next prime is 2043414019. The reversal of 2043414016 is 6104143402.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2043414019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006090 + ... + 1008118.

It is an arithmetic number, because the mean of its divisors is an integer number (58562658).

Almost surely, 22043414016 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 2043414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342506320).

2043414016 is an abundant number, since it is smaller than the sum of its proper divisors (2641598624).

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

2043414016 is an equidigital number, since it uses as much as digits as its factorization.

2043414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2043414016 is about 45204.1371557958. The cubic root of 2043414016 is about 1268.9722430906.

Adding to 2043414016 its reverse (6104143402), we get a palindrome (8147557418).

The spelling of 2043414016 in words is "two billion, forty-three million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 281 448 512 562 896 1124 1792 1967 2029 2248 3584 3934 4058 4496 7868 8116 8992 14203 15736 16232 17984 28406 31472 32464 35968 56812 62944 64928 71936 113624 125888 129856 143872 227248 251776 259712 454496 503552 519424 570149 908992 1007104 1038848 1140298 1817984 2280596 3635968 3991043 4561192 7271936 7982086 9122384 15964172 18244768 31928344 36489536 63856688 72979072 127713376 145958144 255426752 291916288 510853504 1021707008 2043414016