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11303189248 = 2813313312
BaseRepresentation
bin10101000011011100…
…01111101100000000
31002011201221111200211
422201232033230000
5141122104023443
65105334323504
7550050344341
oct124156175400
932151844624
1011303189248
1148803a041a
1222354b9594
1310b19a0c80
147932740c8
154624cd19d
hex2a1b8fb00

11303189248 has 108 divisors (see below), whose sum is σ = 25157584704. Its totient is φ = 5033318400.

The previous prime is 11303189231. The next prime is 11303189267. The reversal of 11303189248 is 84298130311.

It is a super-2 number, since 2×113031892482 (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 11303189248.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34148443 + ... + 34148773.

Almost surely, 211303189248 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 11303189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578792352).

11303189248 is an abundant number, since it is smaller than the sum of its proper divisors (13854395456).

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

11303189248 is an frugal number, since it uses more digits than its factorization.

11303189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 11303189248 in words is "eleven billion, three hundred three million, one hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 331 403 416 496 662 806 832 992 1324 1612 1664 1984 2648 3224 3328 3968 4303 5296 6448 7936 8606 10261 10592 12896 17212 20522 21184 25792 34424 41044 42368 51584 68848 82088 84736 103168 109561 133393 137696 164176 219122 266786 275392 328352 438244 533572 550784 656704 876488 1067144 1101568 1313408 1424293 1752976 2134288 2626816 2848586 3396391 3505952 4268576 5697172 6792782 7011904 8537152 11394344 13585564 14023808 17074304 22788688 27171128 28047616 34148608 44153083 45577376 54342256 88306166 91154752 108684512 176612332 182309504 217369024 353224664 364619008 434738048 706449328 869476096 1412898656 2825797312 5651594624 11303189248