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20180873653248 = 2103731171137179
BaseRepresentation
bin1001001011010101110011…
…10011100010110000000000
32122110021100210011002212010
410211222321303202300000
510121120412123400443
6110530544304132520
74152006601506000
oct445527163426000
978407323132763
1020180873653248
11648072a0768a0
12231b231907140
13b35081c28769
144daa8c0b6000
1524ee3e114733
hex125ab9ce2c00

20180873653248 has 1408 divisors, whose sum is σ = 70291556352000. Its totient is φ = 5101574553600.

The previous prime is 20180873653219. The next prime is 20180873653253. The reversal of 20180873653248 is 84235637808102.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×201808736532482 (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 112742310823 + ... + 112742311001.

Almost surely, 220180873653248 is an apocalyptic number.

20180873653248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20180873653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35145778176000).

20180873653248 is an abundant number, since it is smaller than the sum of its proper divisors (50110682698752).

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

20180873653248 is a wasteful number, since it uses less digits than its factorization.

20180873653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 20180873653248 in words is "twenty trillion, one hundred eighty billion, eight hundred seventy-three million, six hundred fifty-three thousand, two hundred forty-eight".