Search a number
-
+
20786155200 = 263452160387
BaseRepresentation
bin10011010110111100…
…111000111011000000
31222122121211002110000
4103112330320323000
5320032223431300
613314331240000
71334046255366
oct232674707300
958577732400
1020786155200
1188a7274068
1240412a9000
131c63520c25
141012889636
15819caac00
hex4d6f38ec0

20786155200 has 210 divisors, whose sum is σ = 76405154276. Its totient is φ = 5542940160.

The previous prime is 20786155199. The next prime is 20786155219. The reversal of 20786155200 is 255168702.

It is a happy number.

20786155200 is a `hidden beast` number, since 2 + 0 + 78 + 61 + 5 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 49407 + ... + 209793.

Almost surely, 220786155200 is an apocalyptic number.

20786155200 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 20786155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38202577138).

20786155200 is an abundant number, since it is smaller than the sum of its proper divisors (55618999076).

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

20786155200 is a wasteful number, since it uses less digits than its factorization.

20786155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160421 (or 160397 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 20786155200 in words is "twenty billion, seven hundred eighty-six million, one hundred fifty-five thousand, two hundred".