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104870859937920 = 27325101180264817
BaseRepresentation
bin10111110110000100100110…
…010110101001100010000000
3111202022120000112121210010200
4113312010212112221202000
5102221201010121003140
61011013001415325200
731042445446401606
oct2766044626514200
9452276015553120
10104870859937920
11304625335036aa
12b918812980800
13466938354319b
141bc7ac33bb876
15c1cde98e4030
hex5f61265a9880

104870859937920 has 192 divisors, whose sum is σ = 365717657462040. Its totient is φ = 27688675737600.

The previous prime is 104870859937889. The next prime is 104870859937951. The reversal of 104870859937920 is 29739958078401.

104870859937920 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 7 + 0 + 8 + 599 + 3 + 7 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (104870859937889) and next prime (104870859937951).

It can be written as a sum of positive squares in 4 ways, for example, as 102115552090176 + 2755307847744 = 10105224^2 + 1659912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89550649 + ... + 90714168.

Almost surely, 2104870859937920 is an apocalyptic number.

104870859937920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104870859937920 is an abundant number, since it is smaller than the sum of its proper divisors (260846797524120).

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

104870859937920 is a wasteful number, since it uses less digits than its factorization.

104870859937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180264943 (or 180264928 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 104870859937920 in words is "one hundred four trillion, eight hundred seventy billion, eight hundred fifty-nine million, nine hundred thirty-seven thousand, nine hundred twenty".