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250400000000 = 21158313
BaseRepresentation
bin1110100100110100000…
…0001100100000000000
3212221022210202221222002
43221031000030200000
513100304400000000
6311010541003132
724043100611343
oct3511500144000
9787283687862
10250400000000
11972152aa167
12406425534a8
131a7c6c00497
14c1959b645a
1567a7ecc8d5
hex3a4d00c800

250400000000 has 216 divisors, whose sum is σ = 627846358230. Its totient is φ = 99840000000.

The previous prime is 250399999921. The next prime is 250400000027. The reversal of 250400000000 is 4052.

It can be written as a sum of positive squares in 9 ways, for example, as 186928251904 + 63471748096 = 432352^2 + 251936^2 .

It is a sliding number, since 250400000000 = 400000000 + 250000000000 and 1/400000000 + 1/250000000000 = 0.00000000250400000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799999844 + ... + 800000156.

Almost surely, 2250400000000 is an apocalyptic number.

250400000000 is a gapful number since it is divisible by the number (20) 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 250400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313923179115).

250400000000 is an abundant number, since it is smaller than the sum of its proper divisors (377446358230).

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

250400000000 is an frugal number, since it uses more digits than its factorization.

250400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 250400000000 its reverse (4052), we get a palindrome (250400004052).

It can be divided in two parts, 250 and 400000000, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 250400000000 in words is "two hundred fifty billion, four hundred million", and thus it is an aban number.