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9250105172 = 22711283106123
BaseRepresentation
bin10001001110101100…
…10110011101010100
3212212122201000210212
420213112112131110
5122421011331142
64125513504552
7445140411440
oct104726263524
925778630725
109250105172
113a17496a20
121961a12158
13b4552b819
1463a71b820
15392131d82
hex227596754

9250105172 has 48 divisors (see below), whose sum is σ = 20253553152. Its totient is φ = 3591168480.

The previous prime is 9250105169. The next prime is 9250105187. The reversal of 9250105172 is 2715010529.

It is a happy number.

9250105172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×92501051722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34103 + ... + 140225.

It is an arithmetic number, because the mean of its divisors is an integer number (421949024).

Almost surely, 29250105172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9250105172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126776576).

9250105172 is an abundant number, since it is smaller than the sum of its proper divisors (11003447980).

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

9250105172 is a wasteful number, since it uses less digits than its factorization.

9250105172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106428 (or 106426 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 9250105172 is about 96177.4670699951. The cubic root of 9250105172 is about 2099.1761826838.

The spelling of 9250105172 in words is "nine billion, two hundred fifty million, one hundred five thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 283 308 566 1132 1981 3113 3962 6226 7924 12452 21791 43582 87164 106123 212246 424492 742861 1167353 1485722 2334706 2971444 4669412 8171471 16342942 30032809 32685884 60065618 120131236 210229663 330360899 420459326 660721798 840918652 1321443596 2312526293 4625052586 9250105172