Search a number
-
+
20685136898088 = 23321324738239461
BaseRepresentation
bin1001011010000001000100…
…01111001010100000101000
32201020110221202102002120200
410231000202033022200220
510202401130021214323
6111554342023352200
74233310655406525
oct455004217124050
981213852362520
1020685136898088
116655576578233
1223a0b025b2660
13b707a5397100
145172475b614c
1525d10416b443
hex12d0223ca828

20685136898088 has 288 divisors, whose sum is σ = 61976602621440. Its totient is φ = 6226951610880.

The previous prime is 20685136898077. The next prime is 20685136898131. The reversal of 20685136898088 is 88089863158602.

20685136898088 is a `hidden beast` number, since 2 + 0 + 68 + 51 + 368 + 9 + 80 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186353678 + ... + 2186363138.

It is an arithmetic number, because the mean of its divisors is an integer number (215196536880).

Almost surely, 220685136898088 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 20685136898088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30988301310720).

20685136898088 is an abundant number, since it is smaller than the sum of its proper divisors (41291465723352).

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

20685136898088 is a wasteful number, since it uses less digits than its factorization.

20685136898088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13369 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 20685136898088 in words is "twenty trillion, six hundred eighty-five billion, one hundred thirty-six million, eight hundred ninety-eight thousand, eighty-eight".