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18020208440 = 23513103509661
BaseRepresentation
bin10000110010000101…
…101000111100111000
31201111212012102210102
4100302011220330320
5243401133132230
612140043334532
71205362146563
oct206205507470
951455172712
1018020208440
117707a35353
1235aab21448
131912487840
14c2d3ab4da
1570704b045
hex432168f38

18020208440 has 128 divisors (see below), whose sum is σ = 44241724800. Its totient is φ = 6566123520.

The previous prime is 18020208421. The next prime is 18020208443. The reversal of 18020208440 is 4480202081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18020208443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27261710 + ... + 27262370.

It is an arithmetic number, because the mean of its divisors is an integer number (345638475).

Almost surely, 218020208440 is an apocalyptic number.

18020208440 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 18020208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22120862400).

18020208440 is an abundant number, since it is smaller than the sum of its proper divisors (26221516360).

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

18020208440 is a wasteful number, since it uses less digits than its factorization.

18020208440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 18020208440 in words is "eighteen billion, twenty million, two hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 412 509 515 520 661 824 1018 1030 1322 1339 2036 2060 2545 2644 2678 3305 4072 4120 5090 5288 5356 6610 6617 6695 8593 10180 10712 13220 13234 13390 17186 20360 26440 26468 26780 33085 34372 42965 52427 52936 53560 66170 68083 68744 85930 104854 132340 136166 171860 209708 262135 264680 272332 336449 340415 343720 419416 524270 544664 672898 680830 681551 885079 1048540 1345796 1361660 1363102 1682245 1770158 2097080 2691592 2723320 2726204 3364490 3407755 3540316 4373837 4425395 5452408 6728980 6815510 7080632 8747674 8850790 13457960 13631020 17495348 17701580 21869185 27262040 34654247 34990696 35403160 43738370 69308494 87476740 138616988 173271235 174953480 277233976 346542470 450505211 693084940 901010422 1386169880 1802020844 2252526055 3604041688 4505052110 9010104220 18020208440