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18628740405 = 32511238211993
BaseRepresentation
bin10001010110010111…
…000000010100110101
31210002021021001201100
4101112113000110311
5301122424143110
612320302320313
71226431452342
oct212627002465
953067231640
1018628740405
11799a490430
12373a889099
1319ab57ca22
14c8a1357c9
157406a1bc0
hex4565c0535

18628740405 has 96 divisors (see below), whose sum is σ = 36820023552. Its totient is φ = 8624563200.

The previous prime is 18628740397. The next prime is 18628740409. The reversal of 18628740405 is 50404782681.

18628740405 is a `hidden beast` number, since 18 + 628 + 7 + 4 + 0 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 18628740405 - 23 = 18628740397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18628740409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9346089 + ... + 9348081.

It is an arithmetic number, because the mean of its divisors is an integer number (383541912).

Almost surely, 218628740405 is an apocalyptic number.

18628740405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18628740405 is a deficient number, since it is larger than the sum of its proper divisors (18191283147).

18628740405 is a wasteful number, since it uses less digits than its factorization.

18628740405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 18628740405 in words is "eighteen billion, six hundred twenty-eight million, seven hundred forty thousand, four hundred five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 165 207 253 345 495 759 821 1035 1265 1993 2277 2463 3795 4105 5979 7389 9031 9965 11385 12315 17937 18883 21923 27093 29895 36945 45155 45839 56649 65769 81279 89685 94415 109615 135465 137517 169947 197307 207713 229195 283245 328845 406395 412551 504229 623139 687585 849735 986535 1038565 1512687 1636253 1869417 2062755 2521145 3115695 4538061 4908759 7563435 8181265 9347085 14726277 17998783 22690305 24543795 37633819 53996349 73631385 89993915 112901457 161989047 188169095 269981745 338704371 413972009 564507285 809945235 1241916027 1693521855 2069860045 3725748081 6209580135 18628740405