Search a number
-
+
20087037186048 = 21234727193181
BaseRepresentation
bin1001001000100111000001…
…01101110101000000000000
32122010022011011021200010000
410210103200231311000000
510113101223004423143
6110415505115040000
74142145335630610
oct444234055650000
978108134250100
1020087037186048
116444956907158
122305004140000
13b29279341561
144d6309872a40
1524c79b066bd3
hex1244e0b75000

20087037186048 has 520 divisors, whose sum is σ = 68624842795520. Its totient is φ = 5735239188480.

The previous prime is 20087037186037. The next prime is 20087037186061. The reversal of 20087037186048 is 84068173078002.

It is a happy number.

20087037186048 is a `hidden beast` number, since 20 + 0 + 8 + 7 + 0 + 3 + 7 + 1 + 8 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20087037185985 and 20087037186003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6314691018 + ... + 6314694198.

Almost surely, 220087037186048 is an apocalyptic number.

20087037186048 is a gapful number since it is divisible by the number (28) 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 20087037186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34312421397760).

20087037186048 is an abundant number, since it is smaller than the sum of its proper divisors (48537805609472).

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

20087037186048 is an equidigital number, since it uses as much as digits as its factorization.

20087037186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 20087037186048 in words is "twenty trillion, eighty-seven billion, thirty-seven million, one hundred eighty-six thousand, forty-eight".