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1678421745 = 3257211135323
BaseRepresentation
bin110010000001010…
…1010111011110001
311022222020122210100
41210002222323301
511414133443440
6434314223013
756410230600
oct14402527361
94288218710
101678421745
11791475110
123aa124a69
13209962980
1411cca9a37
159c540230
hex640aaef1

1678421745 has 144 divisors (see below), whose sum is σ = 3976644672. Its totient is φ = 643749120.

The previous prime is 1678421741. The next prime is 1678421779. The reversal of 1678421745 is 5471248761.

It is not a de Polignac number, because 1678421745 - 22 = 1678421741 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1678421745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678421741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 312654 + ... + 317976.

It is an arithmetic number, because the mean of its divisors is an integer number (27615588).

Almost surely, 21678421745 is an apocalyptic number.

1678421745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1678421745 is an abundant number, since it is smaller than the sum of its proper divisors (2298222927).

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

1678421745 is a wasteful number, since it uses less digits than its factorization.

1678421745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5362 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 1678421745 is about 40968.5458004064. The cubic root of 1678421745 is about 1188.4120110405.

The spelling of 1678421745 in words is "one billion, six hundred seventy-eight million, four hundred twenty-one thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 49 55 63 65 77 91 99 105 117 143 147 165 195 231 245 273 315 385 429 441 455 495 539 585 637 693 715 735 819 1001 1155 1287 1365 1617 1911 2145 2205 2695 3003 3185 3465 4095 4851 5005 5323 5733 6435 7007 8085 9009 9555 15015 15969 21021 24255 26615 28665 35035 37261 45045 47907 58553 63063 69199 79845 105105 111783 175659 186305 207597 239535 260827 292765 315315 335349 345995 409871 484393 526977 558915 622791 761189 782481 878295 1037985 1229613 1304135 1453179 1676745 2049355 2283567 2347443 2421965 2634885 2869097 3113955 3390751 3688839 3805945 3912405 4359537 5328323 6148065 6850701 7265895 8607291 10172253 11417835 11737215 14345485 15984969 16953755 18444195 21797685 25821873 26641615 30516759 34253505 37298261 43036455 47954907 50861265 79924845 111894783 129109365 152583795 186491305 239774535 335684349 559473915 1678421745