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11243600056 = 231319313191
BaseRepresentation
bin10100111100010101…
…11011100010111000
31002000120211001200201
422132022323202320
5141011330200211
65055405211544
7545425011043
oct123612734270
932016731621
1011243600056
11484a7a0157
122219560bb4
1310a2538cb0
147893a1c5a
1545c15c0c1
hex29e2bb8b8

11243600056 has 128 divisors (see below), whose sum is σ = 24824217600. Its totient is φ = 4732732800.

The previous prime is 11243600033. The next prime is 11243600057. The reversal of 11243600056 is 65000634211.

It is a junction number, because it is equal to n+sod(n) for n = 11243599997 and 11243600033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243600057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58866921 + ... + 58867111.

It is an arithmetic number, because the mean of its divisors is an integer number (193939200).

Almost surely, 211243600056 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 11243600056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412108800).

11243600056 is an abundant number, since it is smaller than the sum of its proper divisors (13580617544).

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

11243600056 is a wasteful number, since it uses less digits than its factorization.

11243600056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11243600056 in words is "eleven billion, two hundred forty-three million, six hundred thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 152 191 247 248 382 403 494 589 764 806 961 988 1178 1528 1612 1922 1976 2356 2483 3224 3629 3844 4712 4966 5921 7258 7657 7688 9932 11842 12493 14516 15314 18259 19864 23684 24986 29032 29791 30628 36518 47177 47368 49972 59582 61256 73036 76973 94354 99944 112499 119164 146072 153946 183551 188708 224998 237367 238328 307892 367102 377416 387283 449996 474734 566029 615784 734204 774566 899992 949468 1132058 1462487 1468408 1549132 1898936 2264116 2386163 2924974 3098264 3487469 4528232 4772326 5690081 5849948 6974938 7358377 9544652 11380162 11699896 13949876 14716754 19089304 22760324 27899752 29433508 45337097 45520648 58867016 73971053 90674194 108111539 147942106 181348388 216223078 295884212 362696776 432446156 591768424 864892312 1405450007 2810900014 5621800028 11243600056