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12533140000 = 25541973181
BaseRepresentation
bin10111010110000100…
…01000101000100000
31012100110022110221101
423223002020220200
5201131440440000
65431352404144
7622403634523
oct135302105040
935313273841
1012533140000
1153516a3647
1225193a6654
131249750b94
1486c75cbba
154d5482e6a
hex2eb088a20

12533140000 has 120 divisors (see below), whose sum is σ = 30999661308. Its totient is φ = 4986240000.

The previous prime is 12533139937. The next prime is 12533140003. The reversal of 12533140000 is 4133521.

It can be written as a sum of positive squares in 10 ways, for example, as 579653776 + 11953486224 = 24076^2 + 109332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12533140000.

It is not an unprimeable number, because it can be changed into a prime (12533140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3938410 + ... + 3941590.

Almost surely, 212533140000 is an apocalyptic number.

12533140000 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 12533140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499830654).

12533140000 is an abundant number, since it is smaller than the sum of its proper divisors (18466521308).

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

12533140000 is an equidigital number, since it uses as much as digits as its factorization.

12533140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 12533140000 its reverse (4133521), we get a palindrome (12537273521).

The spelling of 12533140000 in words is "twelve billion, five hundred thirty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 625 788 800 985 1000 1250 1576 1970 2000 2500 3152 3181 3940 4000 4925 5000 6304 6362 7880 9850 10000 12724 15760 15905 19700 20000 24625 25448 31520 31810 39400 49250 50896 63620 78800 79525 98500 101792 123125 127240 157600 159050 197000 246250 254480 318100 394000 397625 492500 508960 626657 636200 788000 795250 985000 1253314 1272400 1590500 1970000 1988125 2506628 2544800 3133285 3181000 3940000 3976250 5013256 6266570 6362000 7952500 10026512 12533140 12724000 15666425 15905000 20053024 25066280 31332850 31810000 50132560 62665700 63620000 78332125 100265120 125331400 156664250 250662800 313328500 391660625 501325600 626657000 783321250 1253314000 1566642500 2506628000 3133285000 6266570000 12533140000