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1808864106 = 237219794099
BaseRepresentation
bin110101111010001…
…0001001101101010
311200001200211001220
41223310101031222
512201032122411
6455254122510
762553043200
oct15364211552
94601624056
101808864106
11849069415
12425950436
1322a9a48ba
14132343070
15a8c09b06
hex6bd1136a

1808864106 has 96 divisors (see below), whose sum is σ = 4487040000. Its totient is φ = 483301728.

The previous prime is 1808864093. The next prime is 1808864119. The reversal of 1808864106 is 6014688081.

It is an interprime number because it is at equal distance from previous prime (1808864093) and next prime (1808864119).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 439245 + ... + 443343.

It is an arithmetic number, because the mean of its divisors is an integer number (46740000).

Almost surely, 21808864106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1808864106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243520000).

1808864106 is an abundant number, since it is smaller than the sum of its proper divisors (2678175894).

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

1808864106 is a wasteful number, since it uses less digits than its factorization.

1808864106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1808864106 is about 42530.7430689848. The cubic root of 1808864106 is about 1218.4339185893.

The spelling of 1808864106 in words is "one billion, eight hundred eight million, eight hundred sixty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 79 98 114 133 147 158 237 266 294 399 474 553 798 931 1106 1501 1659 1862 2793 3002 3318 3871 4099 4503 5586 7742 8198 9006 10507 11613 12297 21014 23226 24594 28693 31521 57386 63042 73549 77881 86079 147098 155762 172158 200851 220647 233643 323821 401702 441294 467286 545167 602553 647642 971463 1090334 1205106 1635501 1942926 2266747 3271002 3816169 4533494 6152599 6800241 7632338 11448507 12305198 13600482 15867229 18457797 22897014 31734458 36915594 43068193 47601687 86136386 95203374 129204579 258409158 301477351 602954702 904432053 1808864106