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2826134016 = 2932379997
BaseRepresentation
bin1010100001110011…
…0110001000000000
321021221212111001020
42220130312020000
521241442242031
61144233505440
7130014512526
oct25034661000
97257774036
102826134016
111220308352
1266a572280
1336067a664
141cb4a8316
1511819d096
hexa8736200

2826134016 has 80 divisors (see below), whose sum is σ = 7856443584. Its totient is φ = 901074944.

The previous prime is 2826134011. The next prime is 2826134033. The reversal of 2826134016 is 6104316282.

It is not an unprimeable number, because it can be changed into a prime (2826134011) 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, 4671 + ... + 75326.

Almost surely, 22826134016 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 2826134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928221792).

2826134016 is an abundant number, since it is smaller than the sum of its proper divisors (5030309568).

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

2826134016 is an equidigital number, since it uses as much as digits as its factorization.

2826134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80041 (or 80025 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2826134016 is about 53161.3959184670. The cubic root of 2826134016 is about 1413.8312742518.

The spelling of 2826134016 in words is "two billion, eight hundred twenty-six million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 35328 79997 159994 239991 319988 479982 639976 959964 1279952 1839931 1919928 2559904 3679862 3839856 5119808 5519793 7359724 7679712 10239616 11039586 14719448 15359424 20479232 22079172 29438896 30718848 40958464 44158344 58877792 61437696 88316688 117755584 122875392 176633376 235511168 353266752 471022336 706533504 942044672 1413067008 2826134016