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10848019456 = 21022946261
BaseRepresentation
bin10100001101001011…
…11010010000000000
31001000000110111010101
422012211322100000
5134204043110311
64552234412144
7532552433611
oct120645722000
931000414111
1010848019456
11466747363a
122128b91054
13103b5b4131
1474ca2bc08
1543756cec1
hex28697a400

10848019456 has 44 divisors (see below), whose sum is σ = 21780612220. Its totient is φ = 5400207360.

The previous prime is 10848019439. The next prime is 10848019471. The reversal of 10848019456 is 65491084801.

It can be written as a sum of positive squares in 2 ways, for example, as 10571129856 + 276889600 = 102816^2 + 16640^2 .

It is a super-2 number, since 2×108480194562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211366 + ... + 257626.

Almost surely, 210848019456 is an apocalyptic number.

10848019456 is a gapful number since it is divisible by the number (16) 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 10848019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890306110).

10848019456 is an abundant number, since it is smaller than the sum of its proper divisors (10932592764).

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

10848019456 is an equidigital number, since it uses as much as digits as its factorization.

10848019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46510 (or 46492 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 10848019456 in words is "ten billion, eight hundred forty-eight million, nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1832 3664 7328 14656 29312 46261 58624 92522 117248 185044 234496 370088 740176 1480352 2960704 5921408 10593769 11842816 21187538 23685632 42375076 47371264 84750152 169500304 339000608 678001216 1356002432 2712004864 5424009728 10848019456