Search a number
-
+
11135854528 = 26416797653
BaseRepresentation
bin10100101111011111…
…11010011111000000
31001202002002000121121
422113233322133000
5140301234321103
65041000002024
7542646126121
oct122757723700
931662060547
1011135854528
1147a4999367
1221a9460314
131086112b46
14778d56048
154529776bd
hex297bfa7c0

11135854528 has 112 divisors (see below), whose sum is σ = 23246937504. Its totient is φ = 5287772160.

The previous prime is 11135854519. The next prime is 11135854537. The reversal of 11135854528 is 82545853111.

It is an interprime number because it is at equal distance from previous prime (11135854519) and next prime (11135854537).

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, 17053050 + ... + 17053702.

It is an arithmetic number, because the mean of its divisors is an integer number (207561942).

Almost surely, 211135854528 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 11135854528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623468752).

11135854528 is an abundant number, since it is smaller than the sum of its proper divisors (12111082976).

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

11135854528 is an equidigital number, since it uses as much as digits as its factorization.

11135854528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its digits is 192000, while the sum is 43.

The spelling of 11135854528 in words is "eleven billion, one hundred thirty-five million, eight hundred fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 67 82 97 134 164 194 268 328 388 536 653 656 776 1072 1306 1312 1552 2144 2612 2624 2747 3104 3977 4288 5224 5494 6208 6499 7954 10448 10988 12998 15908 20896 21976 25996 26773 31816 41792 43751 43952 51992 53546 63341 63632 87502 87904 103984 107092 126682 127264 175004 175808 207968 214184 253364 254528 266459 350008 415936 428368 506728 532918 700016 856736 1013456 1065836 1400032 1713472 1793791 2026912 2131672 2596981 2800064 3587582 4053824 4243847 4263344 5193962 7175164 8487694 8526688 10387924 14350328 16975388 17053376 20775848 28700656 33950776 41551696 57401312 67901552 83103392 114802624 135803104 166206784 173997727 271606208 347995454 695990908 1391981816 2783963632 5567927264 11135854528