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10854440000 = 2654893049
BaseRepresentation
bin10100001101111100…
…11001110001000000
31001000110112200110022
422012332121301000
5134212214040000
64553024153012
7532661134445
oct120676316100
931013480408
1010854440000
114670059478
12212b168768
13103ca21681
1474d81d9cc
15437dda585
hex286f99c40

10854440000 has 140 divisors (see below), whose sum is σ = 27226831500. Its totient is φ = 4291584000.

The previous prime is 10854439987. The next prime is 10854440011. The reversal of 10854440000 is 4445801.

It can be written as a sum of positive squares in 10 ways, for example, as 10723016704 + 131423296 = 103552^2 + 11464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3558476 + ... + 3561524.

Almost surely, 210854440000 is an apocalyptic number.

10854440000 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 10854440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13613415750).

10854440000 is an abundant number, since it is smaller than the sum of its proper divisors (16372391500).

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

10854440000 is an frugal number, since it uses more digits than its factorization.

10854440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 10854440000 its reverse (4445801), we get a palindrome (10858885801).

The spelling of 10854440000 in words is "ten billion, eight hundred fifty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 160 178 200 250 320 356 400 445 500 625 712 800 890 1000 1250 1424 1600 1780 2000 2225 2500 2848 3049 3560 4000 4450 5000 5696 6098 7120 8000 8900 10000 11125 12196 14240 15245 17800 20000 22250 24392 28480 30490 35600 40000 44500 48784 55625 60980 71200 76225 89000 97568 111250 121960 142400 152450 178000 195136 222500 243920 271361 304900 356000 381125 445000 487840 542722 609800 712000 762250 890000 975680 1085444 1219600 1356805 1524500 1780000 1905625 2170888 2439200 2713610 3049000 3560000 3811250 4341776 4878400 5427220 6098000 6784025 7622500 8683552 10854440 12196000 13568050 15245000 17367104 21708880 24392000 27136100 30490000 33920125 43417760 54272200 60980000 67840250 86835520 108544400 121960000 135680500 169600625 217088800 271361000 339201250 434177600 542722000 678402500 1085444000 1356805000 2170888000 2713610000 5427220000 10854440000