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22848378912 = 253429692
BaseRepresentation
bin10101010001110111…
…101001100000100000
32011222100020220120000
4111101313221200200
5333243141111122
614255120020000
71436130005412
oct252167514040
964870226500
1022848378912
119765350287
124517a61600
132201843448
14116a7009b2
158dad600ac
hex551de9820

22848378912 has 90 divisors (see below), whose sum is σ = 67219088013. Its totient is φ = 7613561088.

The previous prime is 22848378893. The next prime is 22848378923. The reversal of 22848378912 is 21987384822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22848378912 is a `hidden beast` number, since 2 + 2 + 8 + 483 + 78 + 91 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13196495376 + 9651883536 = 114876^2 + 98244^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106884.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7694164 + ... + 7697132.

Almost surely, 222848378912 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 22848378912

22848378912 is an abundant number, since it is smaller than the sum of its proper divisors (44370709101).

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

22848378912 is an frugal number, since it uses more digits than its factorization.

22848378912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 2974 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 22848378912 in words is "twenty-two billion, eight hundred forty-eight million, three hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 2969 5938 8907 11876 17814 23752 26721 35628 47504 53442 71256 80163 95008 106884 142512 160326 213768 240489 285024 320652 427536 480978 641304 855072 961956 1282608 1923912 2565216 3847824 7695648 8814961 17629922 26444883 35259844 52889766 70519688 79334649 105779532 141039376 158669298 211559064 238003947 282078752 317338596 423118128 476007894 634677192 714011841 846236256 952015788 1269354384 1428023682 1904031576 2538708768 2856047364 3808063152 5712094728 7616126304 11424189456 22848378912