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102406462020 = 22325568924789
BaseRepresentation
bin101111101011111100…
…1101001101001000100
3100210022212211021112200
41133113321221221010
53134212023241040
6115013405514500
710253504364522
oct1372771515104
9323285737480
10102406462020
113a480861695
1217a1b872a30
13987024b775
144d568c3312
1529e563a630
hex17d7e69a44

102406462020 has 36 divisors (see below), whose sum is σ = 310632935340. Its totient is φ = 27308389824.

The previous prime is 102406462009. The next prime is 102406462021. The reversal of 102406462020 is 20264604201.

102406462020 is a `hidden beast` number, since 10 + 2 + 4 + 0 + 6 + 4 + 620 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46317065796 + 56089396224 = 215214^2 + 236832^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (102406462021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284462215 + ... + 284462574.

Almost surely, 2102406462020 is an apocalyptic number.

102406462020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102406462020 is an abundant number, since it is smaller than the sum of its proper divisors (208226473320).

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

102406462020 is a wasteful number, since it uses less digits than its factorization.

102406462020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568924804 (or 568924799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 102406462020 in words is "one hundred two billion, four hundred six million, four hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 568924789 1137849578 1706774367 2275699156 2844623945 3413548734 5120323101 5689247890 6827097468 8533871835 10240646202 11378495780 17067743670 20481292404 25601615505 34135487340 51203231010 102406462020