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20495831040 = 2123251731211
BaseRepresentation
bin10011000101101001…
…011001000000000000
31221220101112002120100
4103011221121000000
5313433413043130
613225440442400
71323622455306
oct230551310000
957811462510
1020495831040
1187683a9243
123b80019400
131c18330299
14dc60b4276
157ee55dc60
hex4c5a59000

20495831040 has 624 divisors, whose sum is σ = 78017112576. Its totient is φ = 4954521600.

The previous prime is 20495831003. The next prime is 20495831051. The reversal of 20495831040 is 4013859402.

20495831040 is a `hidden beast` number, since 20 + 4 + 9 + 583 + 10 + 40 = 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 = 20495830986 and 20495831004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97136535 + ... + 97136745.

It is an arithmetic number, because the mean of its divisors is an integer number (125027424).

Almost surely, 220495831040 is an apocalyptic number.

20495831040 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 20495831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39008556288).

20495831040 is an abundant number, since it is smaller than the sum of its proper divisors (57521281536).

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

20495831040 is a wasteful number, since it uses less digits than its factorization.

20495831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

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

The spelling of 20495831040 in words is "twenty billion, four hundred ninety-five million, eight hundred thirty-one thousand, forty".