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10904036934 = 237237997859
BaseRepresentation
bin10100010011110111…
…00110011001000110
31001010220212110122210
422021323212121012
5134312413140214
65001555204250
7534132533100
oct121173463106
931126773583
1010904036934
11469605437a
1221438a6686
13104a09847b
14756250570
1543c435b59
hex289ee6646

10904036934 has 48 divisors (see below), whose sum is σ = 25435771200. Its totient is φ = 3107187216.

The previous prime is 10904036893. The next prime is 10904036959. The reversal of 10904036934 is 43963040901.

10904036934 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 2×109040369342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10904036892 and 10904036901.

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 23 ways as a sum of consecutive naturals, for example, 62497 + ... + 160355.

It is an arithmetic number, because the mean of its divisors is an integer number (529911900).

Almost surely, 210904036934 is an apocalyptic number.

10904036934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10904036934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717885600).

10904036934 is an abundant number, since it is smaller than the sum of its proper divisors (14531734266).

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

10904036934 is a wasteful number, since it uses less digits than its factorization.

10904036934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98257 (or 98250 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 10904036934 in words is "ten billion, nine hundred four million, thirty-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 379 758 1137 2274 2653 5306 7959 15918 18571 37142 55713 97859 111426 195718 293577 587154 685013 1370026 2055039 4110078 4795091 9590182 14385273 28770546 37088561 74177122 111265683 222531366 259619927 519239854 778859781 1557719562 1817339489 3634678978 5452018467 10904036934