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102416352432 = 2434441480449
BaseRepresentation
bin101111101100001111…
…1011000010010110000
3100210100120102202122020
41133120133120102300
53134222041234212
6115014401511440
710253654426532
oct1373037302260
9323316382566
10102416352432
113a4863a7489
1217a23042580
139872302494
144d57d39852
1529e6440d8c
hex17d87d84b0

102416352432 has 40 divisors (see below), whose sum is σ = 264635703600. Its totient is φ = 34131025920.

The previous prime is 102416352421. The next prime is 102416352481. The reversal of 102416352432 is 234253614201.

It is a junction number, because it is equal to n+sod(n) for n = 102416352393 and 102416352402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27057 + ... + 453392.

It is an arithmetic number, because the mean of its divisors is an integer number (6615892590).

Almost surely, 2102416352432 is an apocalyptic number.

102416352432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102416352432 is an abundant number, since it is smaller than the sum of its proper divisors (162219351168).

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

102416352432 is a wasteful number, since it uses less digits than its factorization.

102416352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484901 (or 484895 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 102416352432 its reverse (234253614201), we get a palindrome (336669966633).

The spelling of 102416352432 in words is "one hundred two billion, four hundred sixteen million, three hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 4441 8882 13323 17764 26646 35528 53292 71056 106584 213168 480449 960898 1441347 1921796 2882694 3843592 5765388 7687184 11530776 23061552 2133674009 4267348018 6401022027 8534696036 12802044054 17069392072 25604088108 34138784144 51208176216 102416352432