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20193854040 = 233651734003
BaseRepresentation
bin10010110011101001…
…011100001001011000
31221010100022002000000
4102303221130021120
5312324111312130
613135452213000
71313264633013
oct226351341130
957110262000
1020193854040
1186229a4478
123ab6a6a160
131b9a8bc679
14d97d4837a
157d2cae260
hex4b3a5c258

20193854040 has 224 divisors, whose sum is σ = 68533985520. Its totient is φ = 5352562944.

The previous prime is 20193854027. The next prime is 20193854041. The reversal of 20193854040 is 4045839102.

20193854040 is a `hidden beast` number, since 20 + 1 + 93 + 8 + 540 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20193853986 and 20193854004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193854041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5042679 + ... + 5046681.

Almost surely, 220193854040 is an apocalyptic number.

20193854040 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 20193854040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34266992760).

20193854040 is an abundant number, since it is smaller than the sum of its proper divisors (48340131480).

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

20193854040 is a wasteful number, since it uses less digits than its factorization.

20193854040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20193854040 in words is "twenty billion, one hundred ninety-three million, eight hundred fifty-four thousand, forty".