Search a number
-
+
20986753920 = 2735113972503
BaseRepresentation
bin10011100010111010…
…000111001110000000
32000011121021120011020
4103202322013032000
5320440102111140
613350254545440
71342033315326
oct234272071600
960147246136
1020986753920
11899a525930
124098508280
131c95c578b2
141031385d16
1582c6d26d0
hex4e2e87380

20986753920 has 256 divisors, whose sum is σ = 73189716480. Its totient is φ = 5072855040.

The previous prime is 20986753919. The next prime is 20986753961. The reversal of 20986753920 is 2935768902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8383389 + ... + 8385891.

It is an arithmetic number, because the mean of its divisors is an integer number (285897330).

Almost surely, 220986753920 is an apocalyptic number.

20986753920 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 20986753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36594858240).

20986753920 is an abundant number, since it is smaller than the sum of its proper divisors (52202962560).

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

20986753920 is a wasteful number, since it uses less digits than its factorization.

20986753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 20986753920 in words is "twenty billion, nine hundred eighty-six million, seven hundred fifty-three thousand, nine hundred twenty".