Search a number
-
+
11435245146 = 235132397573
BaseRepresentation
bin10101010011001011…
…11111111001011010
31002111221102122100000
422221211333321122
5141404410321041
65130412553430
7553242660063
oct125145777132
932457378300
1011435245146
114938996a26
122271782876
131103159460
147a6a0b56a
1546ddb5bb6
hex2a997fe5a

11435245146 has 96 divisors (see below), whose sum is σ = 27789914880. Its totient is φ = 3503352384.

The previous prime is 11435245117. The next prime is 11435245193. The reversal of 11435245146 is 64154253411.

11435245146 is a `hidden beast` number, since 1 + 1 + 43 + 524 + 51 + 46 = 666.

It is a super-2 number, since 2×114352451462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11435245146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506216 + ... + 1513788.

It is an arithmetic number, because the mean of its divisors is an integer number (289478280).

Almost surely, 211435245146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11435245146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894957440).

11435245146 is an abundant number, since it is smaller than the sum of its proper divisors (16354669734).

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

11435245146 is a wasteful number, since it uses less digits than its factorization.

11435245146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7830 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 11435245146 its reverse (64154253411), we get a palindrome (75589498557).

The spelling of 11435245146 in words is "eleven billion, four hundred thirty-five million, two hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 239 243 351 478 486 702 717 1053 1434 2106 2151 3107 3159 4302 6214 6318 6453 7573 9321 12906 15146 18642 19359 22719 27963 38718 45438 55926 58077 68157 83889 98449 116154 136314 167778 196898 204471 251667 295347 408942 503334 590694 613413 755001 886041 1226826 1510002 1772082 1809947 1840239 2658123 3619894 3680478 5316246 5429841 7974369 10859682 15948738 16289523 23529311 23923107 32579046 47058622 47846214 48868569 70587933 97737138 141175866 146605707 211763799 293211414 423527598 439817121 635291397 879634242 1270582794 1905874191 3811748382 5717622573 11435245146