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10250041040 = 245639720029
BaseRepresentation
bin10011000101111001…
…10011011011010000
3222110100021000221122
421202330303123100
5131443002303130
64413033541412
7512001624401
oct114274633320
928410230848
1010250041040
11438a9765a8
121ba0874868
13c74745755
146d344d9a8
153eecee2e5
hex262f336d0

10250041040 has 40 divisors (see below), whose sum is σ = 23836260840. Its totient is φ = 4099170816.

The previous prime is 10250041037. The next prime is 10250041049. The reversal of 10250041040 is 4014005201.

10250041040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 233233984 + 10016807056 = 15272^2 + 100084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10250041049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501746 + ... + 521774.

It is an arithmetic number, because the mean of its divisors is an integer number (595906521).

Almost surely, 210250041040 is an apocalyptic number.

10250041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10250041040 is an abundant number, since it is smaller than the sum of its proper divisors (13586219800).

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

10250041040 is a wasteful number, since it uses less digits than its factorization.

10250041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26439 (or 26433 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10250041040 its reverse (4014005201), we get a palindrome (14264046241).

The spelling of 10250041040 in words is "ten billion, two hundred fifty million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6397 12794 20029 25588 31985 40058 51176 63970 80116 100145 102352 127940 160232 200290 255880 320464 400580 511760 801160 1602320 128125513 256251026 512502052 640627565 1025004104 1281255130 2050008208 2562510260 5125020520 10250041040