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10218985938 = 2327281349827
BaseRepresentation
bin10011000010001100…
…10101100111010010
3222101011211021100200
421201012111213102
5131412030022223
64410004200030
7511143642630
oct114106254722
928334737320
1010218985938
114374395427
121b92399016
13c6b191455
146cd288350
153ec217a43
hex2611959d2

10218985938 has 96 divisors (see below), whose sum is σ = 25497763200. Its totient is φ = 2897475840.

The previous prime is 10218985913. The next prime is 10218985939. The reversal of 10218985938 is 83958981201.

It is not an unprimeable number, because it can be changed into a prime (10218985939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12356281 + ... + 12357107.

It is an arithmetic number, because the mean of its divisors is an integer number (265601700).

Almost surely, 210218985938 is an apocalyptic number.

10218985938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10218985938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748881600).

10218985938 is an abundant number, since it is smaller than the sum of its proper divisors (15278777262).

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

10218985938 is a wasteful number, since it uses less digits than its factorization.

10218985938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 10218985938 in words is "ten billion, two hundred eighteen million, nine hundred eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 349 562 698 827 843 1047 1654 1686 1967 2094 2443 2481 2529 3141 3934 4886 4962 5058 5789 5901 6282 7329 7443 11578 11802 14658 14886 17367 17703 21987 34734 35406 43974 52101 98069 104202 196138 232387 288623 294207 464774 577246 588414 686483 697161 865869 882621 1372966 1394322 1626709 1731738 1765242 2020361 2059449 2091483 2597607 3253418 4040722 4118898 4182966 4880127 5195214 6061083 6178347 9760254 12122166 12356694 14640381 18183249 29280762 36366498 81103063 162206126 243309189 486618378 567721441 729927567 1135442882 1459855134 1703164323 3406328646 5109492969 10218985938