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11352565242 = 2323137953681
BaseRepresentation
bin10101001001010101…
…00110010111111010
31002022011212001211100
422210222212113322
5141222224041432
65114300512230
7551220132564
oct124452462772
932264761740
1011352565242
1148a6255327
122249b4b676
1310bbc9b335
14799a48334
154669d307c
hex2a4aa65fa

11352565242 has 48 divisors (see below), whose sum is σ = 25458151680. Its totient is φ = 3652387200.

The previous prime is 11352565229. The next prime is 11352565249. The reversal of 11352565242 is 24256525311.

11352565242 is a `hidden beast` number, since 1 + 1 + 3 + 52 + 565 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11352565197 and 11352565206.

It is not an unprimeable number, because it can be changed into a prime (11352565249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184642 + ... + 238322.

It is an arithmetic number, because the mean of its divisors is an integer number (530378160).

Almost surely, 211352565242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352565242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12729075840).

11352565242 is an abundant number, since it is smaller than the sum of its proper divisors (14105586438).

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

11352565242 is a wasteful number, since it uses less digits than its factorization.

11352565242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54099 (or 54096 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

It can be divided in two parts, 11 and 352565242, that added together give a palindrome (352565253).

The spelling of 11352565242 in words is "eleven billion, three hundred fifty-two million, five hundred sixty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 379 558 758 1137 2274 3411 6822 11749 23498 35247 53681 70494 105741 107362 161043 211482 322086 483129 966258 1664111 3328222 4992333 9984666 14976999 20345099 29953998 40690198 61035297 122070594 183105891 366211782 630698069 1261396138 1892094207 3784188414 5676282621 11352565242