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11136309518790 = 23252413907131413
BaseRepresentation
bin1010001000001101111111…
…0001011110000111000110
31110102121202120001200120100
42202003133301132013012
52424424130214100130
635403541105344530
72226400063032231
oct242033761360706
943377676050510
1011136309518790
113603978444985
1212ba35b638146
1362a1c3545c51
142a70009c0418
15144a333e4c60
hexa20dfc5e1c6

11136309518790 has 96 divisors (see below), whose sum is σ = 29082210464736. Its totient is φ = 2956580766720.

The previous prime is 11136309518783. The next prime is 11136309518801. The reversal of 11136309518790 is 9781590363111.

11136309518790 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 6 + 30 + 9 + 518 + 7 + 90 = 666.

11136309518790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111363095187902 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84677124 + ... + 84808536.

It is an arithmetic number, because the mean of its divisors is an integer number (302939692341).

Almost surely, 211136309518790 is an apocalyptic number.

11136309518790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11136309518790 is an abundant number, since it is smaller than the sum of its proper divisors (17945900945946).

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

11136309518790 is a wasteful number, since it uses less digits than its factorization.

11136309518790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135574 (or 135571 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 11136309518790 in words is "eleven trillion, one hundred thirty-six billion, three hundred nine million, five hundred eighteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 241 482 723 1205 1446 2169 2410 3615 3907 4338 7230 7814 10845 11721 19535 21690 23442 35163 39070 58605 70326 117210 131413 175815 262826 351630 394239 657065 788478 941587 1182717 1314130 1883174 1971195 2365434 2824761 3942390 4707935 5649522 5913585 8474283 9415870 11827170 14123805 16948566 28247610 31670533 42371415 63341066 84742830 95011599 158352665 190023198 285034797 316705330 475057995 513430591 570069594 950115990 1026861182 1425173985 1540291773 2567152955 2850347970 3080583546 4620875319 5134305910 7701458865 9241750638 15402917730 23104376595 46208753190 123736772431 247473544862 371210317293 618683862155 742420634586 1113630951879 1237367724310 1856051586465 2227261903758 3712103172930 5568154759395 11136309518790