Search a number
-
+
210260473412000 = 25531169112795407
BaseRepresentation
bin101111110011101100010100…
…110100111111100110100000
31000120110201000220112121211012
4233303230110310333212200
5210024401422143141000
62023104154503440052
762200550353312544
oct5763542464774640
91016421026477735
10210260473412000
1160aa4a69842010
121b6b9a7b156028
13904262929989b
1439cc93851ba24
15194955651e735
hexbf3b14d3f9a0

210260473412000 has 384 divisors, whose sum is σ = 564935857274880. Its totient is φ = 76273902720000.

The previous prime is 210260473411999. The next prime is 210260473412029. The reversal of 210260473412000 is 214374062012.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38886713297 + ... + 38886718703.

It is an arithmetic number, because the mean of its divisors is an integer number (1471187128320).

Almost surely, 2210260473412000 is an apocalyptic number.

210260473412000 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 210260473412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282467928637440).

210260473412000 is an abundant number, since it is smaller than the sum of its proper divisors (354675383862880).

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

210260473412000 is a wasteful number, since it uses less digits than its factorization.

210260473412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 210260473412000 in words is "two hundred ten trillion, two hundred sixty billion, four hundred seventy-three million, four hundred twelve thousand".