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9960378435 = 345721116651
BaseRepresentation
bin10010100011010111…
…10101000001000011
3221201011012122120000
421101223311001003
5130344324102220
64324205251043
7501553551120
oct112153650103
927634178500
109960378435
114251412817
121b1b863a83
13c29726c67
146a6bab747
153d4683390
hex251af5043

9960378435 has 80 divisors (see below), whose sum is σ = 20503540992. Its totient is φ = 4531464000.

The previous prime is 9960378431. The next prime is 9960378469. The reversal of 9960378435 is 5348730699.

9960378435 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9960378435 - 22 = 9960378431 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9960378431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589860 + ... + 606510.

Almost surely, 29960378435 is an apocalyptic number.

9960378435 is an abundant number, since it is smaller than the sum of its proper divisors (10543162557).

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

9960378435 is a wasteful number, since it uses less digits than its factorization.

9960378435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16886 (or 16877 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 9960378435 is about 99801.6955517290. The cubic root of 9960378435 is about 2151.5855212910.

The spelling of 9960378435 in words is "nine billion, nine hundred sixty million, three hundred seventy-eight thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 211 315 405 567 633 945 1055 1477 1899 2835 3165 4431 5697 7385 9495 13293 16651 17091 22155 28485 39879 49953 66465 83255 85455 116557 119637 149859 199395 249765 349671 449577 582785 598185 749295 1049013 1348731 1748355 2247885 3147039 3513361 5245065 6743655 9441117 10540083 15735195 17566805 24593527 31620249 47205585 52700415 73780581 94860747 122967635 158101245 221341743 284582241 368902905 474303735 664025229 1106708715 1422911205 1992075687 3320126145 9960378435