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27000561404300 = 225211172425159539
BaseRepresentation
bin1100010001110100011101…
…10111110000100110001100
310112121020011112210202221212
412020322032313300212030
512014334122204414200
6133231515304313552
75454504040112261
oct610721667604614
9115536145722855
1027000561404300
11866a968011780
123040a814728b8
13120b1b0013653
14694b96c71268
1531c52e9cc035
hex188e8edf098c

27000561404300 has 144 divisors (see below), whose sum is σ = 67681484357760. Its totient is φ = 9240297600000.

The previous prime is 27000561404261. The next prime is 27000561404461. The reversal of 27000561404300 is 340416500072.

It is a super-2 number, since 2×270005614043002 (a number of 28 digits) contains 22 as substring.

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, 453463931 + ... + 453523469.

It is an arithmetic number, because the mean of its divisors is an integer number (470010308040).

Almost surely, 227000561404300 is an apocalyptic number.

27000561404300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27000561404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33840742178880).

27000561404300 is an abundant number, since it is smaller than the sum of its proper divisors (40680922953460).

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

27000561404300 is a wasteful number, since it uses less digits than its factorization.

27000561404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83832 (or 83825 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 27000561404300 its reverse (340416500072), we get a palindrome (27340977904372).

The spelling of 27000561404300 in words is "twenty-seven trillion, five hundred sixty-one million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 24251 48502 59539 97004 119078 121255 238156 242510 266761 297695 412267 485020 533522 595390 606275 654929 824534 1012163 1067044 1190780 1212550 1309858 1333805 1488475 1649068 2024326 2061335 2425100 2619716 2667610 2976950 3274645 4048652 4122670 4534937 5060815 5335220 5953900 6549290 6669025 8245340 9069874 10121630 10306675 11133793 13098580 13338050 16373225 18139748 20243260 20613350 22267586 22674685 25304075 26676100 32746450 41226700 44535172 45349370 50608150 55668965 65492900 90698740 101216300 111337930 113373425 222675860 226746850 278344825 453493700 556689650 1113379300 1443880289 2887760578 5775521156 7219401445 14438802890 15882683179 24545964913 28877605780 31765366358 36097007225 49091929826 63530732716 72194014450 79413415895 98183859652 122729824565 144388028900 158826831790 245459649130 270005614043 317653663580 397067079475 490919298260 540011228086 613649122825 794134158950 1080022456172 1227298245650 1350028070215 1588268317900 2454596491300 2700056140430 5400112280860 6750140351075 13500280702150 27000561404300