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11028364830 = 23257219113093
BaseRepresentation
bin10100100010101011…
…10111111000011110
31001110120210222110200
422101111313320132
5140041230133310
65022200044330
7540202361100
oct122125677036
931416728420
1011028364830
11474a2517aa
1221794636a6
131069a79282
14768975570
154482e39c0
hex291577e1e

11028364830 has 144 divisors (see below), whose sum is σ = 33532372224. Its totient is φ = 2507379840.

The previous prime is 11028364819. The next prime is 11028364849. The reversal of 11028364830 is 3846382011.

11028364830 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 8 + 3 + 648 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 835764 + ... + 848856.

It is an arithmetic number, because the mean of its divisors is an integer number (232863696).

Almost surely, 211028364830 is an apocalyptic number.

11028364830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11028364830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766186112).

11028364830 is an abundant number, since it is smaller than the sum of its proper divisors (22504007394).

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

11028364830 is a wasteful number, since it uses less digits than its factorization.

11028364830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11028364830 in words is "eleven billion, twenty-eight million, three hundred sixty-four thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 191 210 245 294 315 382 441 490 573 630 735 882 955 1146 1337 1470 1719 1910 2205 2674 2865 3438 4011 4410 5730 6685 8022 8595 9359 12033 13093 13370 17190 18718 20055 24066 26186 28077 39279 40110 46795 56154 60165 65465 78558 84231 91651 93590 117837 120330 130930 140385 168462 183302 196395 235674 274953 280770 392790 421155 458255 549906 589185 641557 824859 842310 916510 1178370 1283114 1374765 1649718 1924671 2500763 2749530 3207785 3849342 4124295 5001526 5774013 6415570 7502289 8248590 9623355 11548026 12503815 15004578 17505341 19246710 22506867 25007630 28870065 35010682 37511445 45013734 52516023 57740130 75022890 87526705 105032046 112534335 122537387 157548069 175053410 225068670 245074774 262580115 315096138 367612161 525160230 612686935 735224322 787740345 1102836483 1225373870 1575480690 1838060805 2205672966 3676121610 5514182415 11028364830