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20209107919518 = 232719238336712049
BaseRepresentation
bin1001001100001010011001…
…01100101110001010011110
32122112222020110220102220200
410212011030230232022132
510122101223111411033
6110551534102324330
74154026351015050
oct446051454561236
978488213812820
1020209107919518
1164916a862aa51
1223247b14296a6
13b3793153a5ab
144dc1a9c078d0
15250a42c03013
hex12614cb2e29e

20209107919518 has 384 divisors, whose sum is σ = 55784042496000. Its totient is φ = 5154749715456.

The previous prime is 20209107919489. The next prime is 20209107919523. The reversal of 20209107919518 is 81591970190202.

It is a happy number.

20209107919518 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 9 + 107 + 9 + 19 + 518 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1677237558 + ... + 1677249606.

It is an arithmetic number, because the mean of its divisors is an integer number (145270944000).

Almost surely, 220209107919518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20209107919518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27892021248000).

20209107919518 is an abundant number, since it is smaller than the sum of its proper divisors (35574934576482).

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

20209107919518 is a wasteful number, since it uses less digits than its factorization.

20209107919518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 20209107919518 in words is "twenty trillion, two hundred nine billion, one hundred seven million, nine hundred nineteen thousand, five hundred eighteen".