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14526250000 = 245711621
BaseRepresentation
bin11011000011101010…
…01111110000010000
31101111100200221212021
431201311033300100
5214222210000000
610401231541224
71022655042043
oct154165176020
941440627767
1014526250000
116184764699
12299498a814
1314a6655102
149bb342c5a
155a043411a
hex361d4fc10

14526250000 has 80 divisors (see below), whose sum is σ = 35183698992. Its totient is φ = 5810000000.

The previous prime is 14526249989. The next prime is 14526250007. The reversal of 14526250000 is 5262541.

It can be written as a sum of positive squares in 8 ways, for example, as 7760200464 + 6766049536 = 88092^2 + 82256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145262500002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14526250007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1244190 + ... + 1255810.

Almost surely, 214526250000 is an apocalyptic number.

14526250000 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 14526250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591849496).

14526250000 is an abundant number, since it is smaller than the sum of its proper divisors (20657448992).

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

14526250000 is an frugal number, since it uses more digits than its factorization.

14526250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11664 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 14526250000 in words is "fourteen billion, five hundred twenty-six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 11621 12500 15625 23242 25000 31250 46484 50000 58105 62500 78125 92968 116210 125000 156250 185936 232420 250000 290525 312500 464840 581050 625000 929680 1162100 1250000 1452625 2324200 2905250 4648400 5810500 7263125 11621000 14526250 23242000 29052500 36315625 58105000 72631250 116210000 145262500 181578125 290525000 363156250 581050000 726312500 907890625 1452625000 1815781250 2905250000 3631562500 7263125000 14526250000