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11352150414 = 23211439371423
BaseRepresentation
bin10101001001010010…
…00001000110001110
31002022011001222210100
422210221001012032
5141222122303124
65114243551530
7551213454303
oct124451010616
932264058710
1011352150414
1148a5aa16a0
12224998b5a6
1310bbb84587
1479997b0aa
154669501c9
hex2a4a4118e

11352150414 has 96 divisors (see below), whose sum is σ = 27504981504. Its totient is φ = 3354099840.

The previous prime is 11352150389. The next prime is 11352150461. The reversal of 11352150414 is 41405125311.

11352150414 is a `hidden beast` number, since 1 + 1 + 35 + 215 + 0 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

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, 7976907 + ... + 7978329.

It is an arithmetic number, because the mean of its divisors is an integer number (286510224).

Almost surely, 211352150414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352150414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752490752).

11352150414 is an abundant number, since it is smaller than the sum of its proper divisors (16152831090).

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

11352150414 is a wasteful number, since it uses less digits than its factorization.

11352150414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 11352150414 its reverse (41405125311), we get a palindrome (52757275725).

The spelling of 11352150414 in words is "eleven billion, three hundred fifty-two million, one hundred fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 937 946 1419 1423 1874 2811 2838 2846 4257 4269 5622 8433 8514 8538 10307 12807 15653 16866 20614 25614 30921 31306 40291 46959 61189 61842 80582 92763 93918 120873 122378 140877 183567 185526 241746 281754 362619 367134 443201 550701 673079 725238 886402 1101402 1329603 1333351 1346158 2019237 2659206 2666702 3988809 4000053 4038474 6057711 7977618 8000106 12000159 12115422 14666861 24000318 29333722 44000583 57334093 88001166 114668186 132001749 172002279 264003498 344004558 516006837 630675023 1032013674 1261350046 1892025069 3784050138 5676075207 11352150414