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14525200000 = 275536313
BaseRepresentation
bin11011000011100010…
…01111011010000000
31101111021201121112101
431201301033122000
5214221422400000
610401153240144
71022643106603
oct154161173200
941437647471
1014525200000
116184107823
122994563054
1314a63781cc
149bb14c33a
155a02c7e6a
hex361c4f680

14525200000 has 96 divisors (see below), whose sum is σ = 36169833420. Its totient is φ = 5809920000.

The previous prime is 14525199937. The next prime is 14525200003. The reversal of 14525200000 is 252541.

It can be written as a sum of positive squares in 6 ways, for example, as 4158702144 + 10366497856 = 64488^2 + 101816^2 .

It is not an unprimeable number, because it can be changed into a prime (14525200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381844 + ... + 418156.

Almost surely, 214525200000 is an apocalyptic number.

14525200000 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 14525200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18084916710).

14525200000 is an abundant number, since it is smaller than the sum of its proper divisors (21644633420).

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

14525200000 is an frugal number, since it uses more digits than its factorization.

14525200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36352 (or 36320 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 14525200000 its reverse (252541), we get a palindrome (14525452541).

The spelling of 14525200000 in words is "fourteen billion, five hundred twenty-five million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 36313 40000 50000 72626 80000 100000 145252 181565 200000 290504 363130 400000 581008 726260 907825 1162016 1452520 1815650 2324032 2905040 3631300 4539125 4648064 5810080 7262600 9078250 11620160 14525200 18156500 22695625 23240320 29050400 36313000 45391250 58100800 72626000 90782500 113478125 116201600 145252000 181565000 226956250 290504000 363130000 453912500 581008000 726260000 907825000 1452520000 1815650000 2905040000 3631300000 7262600000 14525200000