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9034122104 = 23779225849
BaseRepresentation
bin10000110100111100…
…11100001101111000
3212022121021221201222
420122132130031320
5122000213401404
64052240331212
7436605525260
oct103236341570
925277257658
109034122104
113916587717
121901613b08
13b0c8695a7
14619b787a0
1537d1bbdbe
hex21a79c378

9034122104 has 48 divisors (see below), whose sum is σ = 19607742000. Its totient is φ = 3822609024.

The previous prime is 9034122101. The next prime is 9034122121. The reversal of 9034122104 is 4012214309.

9034122104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9034122101) 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 11 ways as a sum of consecutive naturals, for example, 336572 + ... + 362420.

It is an arithmetic number, because the mean of its divisors is an integer number (408494625).

Almost surely, 29034122104 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 9034122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803871000).

9034122104 is an abundant number, since it is smaller than the sum of its proper divisors (10573619896).

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

9034122104 is a wasteful number, since it uses less digits than its factorization.

9034122104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26020 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 9034122104 is about 95047.9989479000. The cubic root of 9034122104 is about 2082.7092795621.

The spelling of 9034122104 in words is "nine billion, thirty-four million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424 6241 12482 24964 25849 43687 49928 51698 87374 103396 174748 180943 206792 349496 361886 723772 1447544 2042071 4084142 8168284 14294497 16336568 28588994 57177988 114355976 161323609 322647218 645294436 1129265263 1290588872 2258530526 4517061052 9034122104