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20135112192 = 29351359211
BaseRepresentation
bin10010110000001001…
…010110111000000000
31220222020202200100000
4102300021112320000
5312214042042232
613125553200000
71311652425666
oct226011267000
956866680300
1020135112192
1185a2822898
123a9b260000
131b8b693290
14d90216c36
157cca5927c
hex4b0256e00

20135112192 has 480 divisors, whose sum is σ = 66312005760. Its totient is φ = 6061547520.

The previous prime is 20135112187. The next prime is 20135112199. The reversal of 20135112192 is 29121153102.

20135112192 is a `hidden beast` number, since 201 + 351 + 1 + 21 + 92 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135112199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95426967 + ... + 95427177.

It is an arithmetic number, because the mean of its divisors is an integer number (138150012).

Almost surely, 220135112192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33156002880).

20135112192 is an abundant number, since it is smaller than the sum of its proper divisors (46176893568).

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

20135112192 is an equidigital number, since it uses as much as digits as its factorization.

20135112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 20135112192 its reverse (29121153102), we get a palindrome (49256265294).

The spelling of 20135112192 in words is "twenty billion, one hundred thirty-five million, one hundred twelve thousand, one hundred ninety-two".