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102805485630 = 23561193291077
BaseRepresentation
bin101111110111110101…
…1110011100000111110
3100211100200122210000220
41133233223303200332
53141021201020010
6115121142202210
710266421131621
oct1375753634076
9324320583026
10102805485630
113a66601aa71
1217b11423366
139904b0a803
144d938b1db8
152a1a6a9970
hex17efaf383e

102805485630 has 64 divisors (see below), whose sum is σ = 252078205248. Its totient is φ = 26825564160.

The previous prime is 102805485593. The next prime is 102805485661. The reversal of 102805485630 is 36584508201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207652 + ... + 498728.

It is an arithmetic number, because the mean of its divisors is an integer number (3938721957).

Almost surely, 2102805485630 is an apocalyptic number.

102805485630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102805485630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126039102624).

102805485630 is an abundant number, since it is smaller than the sum of its proper divisors (149272719618).

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

102805485630 is a wasteful number, since it uses less digits than its factorization.

102805485630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291341.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 102805485630 in words is "one hundred two billion, eight hundred five million, four hundred eighty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 193 305 366 386 579 610 915 965 1158 1830 1930 2895 5790 11773 23546 35319 58865 70638 117730 176595 291077 353190 582154 873231 1455385 1746462 2910770 4366155 8732310 17755697 35511394 53267091 56177861 88778485 106534182 112355722 168533583 177556970 266335455 280889305 337067166 532670910 561778610 842667915 1685335830 3426849521 6853699042 10280548563 17134247605 20561097126 34268495210 51402742815 102805485630