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9934508403 = 3231411914547
BaseRepresentation
bin10010100000010010…
…01001000101110011
3221122100112022112200
421100021021011303
5130321213232103
64321442554243
7501120633231
oct112011110563
927570468480
109934508403
114238853226
121b13068983
13c24269a51
146a3595951
153d22730a3
hex250249173

9934508403 has 48 divisors (see below), whose sum is σ = 15256829952. Its totient is φ = 6218928000.

The previous prime is 9934508401. The next prime is 9934508407. The reversal of 9934508403 is 3048054399.

It is a happy number.

9934508403 is a nontrivial binomial coefficient, being equal to C(140958, 2).

It is not a de Polignac number, because 9934508403 - 21 = 9934508401 is a prime.

It is a super-2 number, since 2×99345084032 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9934508401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2182576 + ... + 2187122.

It is an arithmetic number, because the mean of its divisors is an integer number (317850624).

Almost surely, 29934508403 is an apocalyptic number.

9934508403 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

9934508403 is the 140957-th triangular number and also the 70479-th hexagonal number.

9934508403 is a deficient number, since it is larger than the sum of its proper divisors (5322321549).

9934508403 is a wasteful number, since it uses less digits than its factorization.

9934508403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9934508403 is about 99672.0041084757. The cubic root of 9934508403 is about 2149.7211394591.

The spelling of 9934508403 in words is "nine billion, nine hundred thirty-four million, five hundred eight thousand, four hundred three".

Divisors: 1 3 9 31 41 93 123 191 279 369 573 1271 1719 3813 4547 5921 7831 11439 13641 17763 23493 40923 53289 70479 140957 186427 242761 422871 559281 728283 868477 1268613 1677843 2184849 2605431 5779237 7816293 17337711 26922787 35607557 52013133 80768361 106822671 242305083 320468013 1103834267 3311502801 9934508403