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18614711040 = 283519325117
BaseRepresentation
bin10001010101100001…
…011111001100000000
31210001021212022001020
4101111201133030000
5301110331223130
612315041505440
71226201301402
oct212541371400
953037768036
1018614711040
117992578a12
123736042280
1319a86aa123
14c88322b72
1573e32ee10
hex45585f300

18614711040 has 144 divisors (see below), whose sum is σ = 59761147488. Its totient is φ = 4938006528.

The previous prime is 18614711029. The next prime is 18614711053. The reversal of 18614711040 is 4011741681.

It is a junction number, because it is equal to n+sod(n) for n = 18614710992 and 18614711010.

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, 728562 + ... + 753678.

Almost surely, 218614711040 is an apocalyptic number.

18614711040 is a gapful number since it is divisible by the number (10) 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 18614711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880573744).

18614711040 is an abundant number, since it is smaller than the sum of its proper divisors (41146436448).

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

18614711040 is a wasteful number, since it uses less digits than its factorization.

18614711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25334 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The spelling of 18614711040 in words is "eighteen billion, six hundred fourteen million, seven hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 320 384 386 480 579 640 768 772 960 965 1158 1280 1544 1920 1930 2316 2895 3088 3840 3860 4632 5790 6176 7720 9264 11580 12352 15440 18528 23160 24704 25117 30880 37056 46320 49408 50234 61760 74112 75351 92640 100468 123520 125585 148224 150702 185280 200936 247040 251170 301404 370560 376755 401872 502340 602808 741120 753510 803744 1004680 1205616 1507020 1607488 2009360 2411232 3014040 3214976 4018720 4822464 4847581 6028080 6429952 8037440 9644928 9695162 12056160 14542743 16074880 19289856 19390324 24112320 24237905 29085486 32149760 38780648 48224640 48475810 58170972 72713715 77561296 96449280 96951620 116341944 145427430 155122592 193903240 232683888 290854860 310245184 387806480 465367776 581709720 620490368 775612960 930735552 1163419440 1240980736 1551225920 1861471104 2326838880 3102451840 3722942208 4653677760 6204903680 9307355520 18614711040