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11262252352 = 2613131191541
BaseRepresentation
bin10100111110100100…
…00101010101000000
31002001212220200211111
422133102011111000
5141031114033402
65101313053104
7546042364651
oct123722052500
932055820744
1011262252352
11485a27a97a
122223857194
1310a6369b60
1478ba59528
1545dae39d7
hex29f485540

11262252352 has 112 divisors (see below), whose sum is σ = 24423404544. Its totient is φ = 5121792000.

The previous prime is 11262252343. The next prime is 11262252401. The reversal of 11262252352 is 25325226211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20817202 + ... + 20817742.

It is an arithmetic number, because the mean of its divisors is an integer number (218066112).

Almost surely, 211262252352 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 11262252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211702272).

11262252352 is an abundant number, since it is smaller than the sum of its proper divisors (13161152192).

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

11262252352 is a wasteful number, since it uses less digits than its factorization.

11262252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

Adding to 11262252352 its reverse (25325226211), we get a palindrome (36587478563).

The spelling of 11262252352 in words is "eleven billion, two hundred sixty-two million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 131 191 208 262 382 416 524 541 764 832 1048 1082 1528 1703 2096 2164 2483 3056 3406 4192 4328 4966 6112 6812 7033 8384 8656 9932 12224 13624 14066 17312 19864 25021 27248 28132 34624 39728 50042 54496 56264 70871 79456 100084 103331 108992 112528 141742 158912 200168 206662 225056 283484 325273 400336 413324 450112 566968 650546 800672 826648 921323 1133936 1301092 1343303 1601344 1653296 1842646 2267872 2602184 2686606 3306592 3685292 4535744 5204368 5373212 6613184 7370584 10408736 10746424 13536361 14741168 20817472 21492848 27072722 29482336 42985696 54145444 58964672 85971392 108290888 175972693 216581776 351945386 433163552 703890772 866327104 1407781544 2815563088 5631126176 11262252352