Search a number
-
+
10975599348 = 22377310916421
BaseRepresentation
bin10100011100011001…
…00101101011110100
31001022220112012211120
422032030211223310
5134434223134343
65013033103540
7535662024630
oct121614455364
931286465746
1010975599348
11472249226a
122163857bb0
13105bb631ac
1476195bdc0
1544386e683
hex28e325af4

10975599348 has 96 divisors (see below), whose sum is σ = 29943217920. Its totient is φ = 3064366080.

The previous prime is 10975599343. The next prime is 10975599389. The reversal of 10975599348 is 84399557901.

10975599348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10975599291 and 10975599300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10975599343) 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 31 ways as a sum of consecutive naturals, for example, 660178 + ... + 676598.

It is an arithmetic number, because the mean of its divisors is an integer number (311908520).

Almost surely, 210975599348 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 10975599348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971608960).

10975599348 is an abundant number, since it is smaller than the sum of its proper divisors (18967618572).

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

10975599348 is a wasteful number, since it uses less digits than its factorization.

10975599348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16617 (or 16615 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 10975599348 in words is "ten billion, nine hundred seventy-five million, five hundred ninety-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 109 146 218 219 292 327 436 438 511 654 763 876 1022 1308 1526 1533 2044 2289 3052 3066 4578 6132 7957 9156 15914 16421 23871 31828 32842 47742 49263 55699 65684 95484 98526 111398 114947 167097 197052 222796 229894 334194 344841 459788 668388 689682 1198733 1379364 1789889 2397466 3579778 3596199 4794932 5369667 7159556 7192398 8391131 10739334 12529223 14384796 16782262 21478668 25058446 25173393 33564524 37587669 50116892 50346786 75175338 100693572 130661897 150350676 261323794 391985691 522647588 783971382 914633279 1567942764 1829266558 2743899837 3658533116 5487799674 10975599348