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20201899478040 = 233257172532232347
BaseRepresentation
bin1001001011111100111110…
…00010101100110000011000
32122112021122002221200011200
410211332133002230300120
510121441442231244130
6110544342520354200
74153352621202510
oct445763702546030
978467562850150
1020201899478040
1164896396581a5
12232331b315960
13b37052cb2cc7
144dbac470c840
1525076ee63760
hex125f9f0acc18

20201899478040 has 1152 divisors, whose sum is σ = 81612013916160. Its totient is φ = 4243026198528.

The previous prime is 20201899478021. The next prime is 20201899478143. The reversal of 20201899478040 is 4087499810202.

20201899478040 is a `hidden beast` number, since 20 + 20 + 1 + 8 + 99 + 478 + 0 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8607540147 + ... + 8607542493.

It is an arithmetic number, because the mean of its divisors is an integer number (70843762080).

Almost surely, 220201899478040 is an apocalyptic number.

20201899478040 is a gapful number since it is divisible by the number (20) 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 20201899478040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40806006958080).

20201899478040 is an abundant number, since it is smaller than the sum of its proper divisors (61410114438120).

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

20201899478040 is a wasteful number, since it uses less digits than its factorization.

20201899478040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 20201899478040 in words is "twenty trillion, two hundred one billion, eight hundred ninety-nine million, four hundred seventy-eight thousand, forty".