Search a number
-
+
20852874000 = 2432537359461
BaseRepresentation
bin10011011010111011…
…011001101100010000
31222211021100202102200
4103122323121230100
5320201313432000
613325113243200
71335516335010
oct233273315420
958737322380
1020852874000
1189309a3972
12405b703500
131c742b10ca
14101b695c40
15820a89500
hex4daed9b10

20852874000 has 480 divisors, whose sum is σ = 83649646080. Its totient is φ = 4742784000.

The previous prime is 20852873989. The next prime is 20852874001. The reversal of 20852874000 is 47825802.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20852874001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45233770 + ... + 45234230.

It is an arithmetic number, because the mean of its divisors is an integer number (174270096).

Almost surely, 220852874000 is an apocalyptic number.

20852874000 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 20852874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41824823040).

20852874000 is an abundant number, since it is smaller than the sum of its proper divisors (62796772080).

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

20852874000 is a wasteful number, since it uses less digits than its factorization.

20852874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20852874000 in words is "twenty billion, eight hundred fifty-two million, eight hundred seventy-four thousand".