Search a number
-
+
249466972160 = 21157191131621
BaseRepresentation
bin1110100001010101100…
…0111110100000000000
3212211220210010020101102
43220111120332200000
513041402021102120
6310334210553532
724011011163510
oct3502530764000
9784823106342
10249466972160
119688666957a
1240421b988a8
131a6a88118c3
14c107add840
156751129d75
hex3a1563e800

249466972160 has 384 divisors, whose sum is σ = 726910329600. Its totient is φ = 80263249920.

The previous prime is 249466972127. The next prime is 249466972171. The reversal of 249466972160 is 61279664942.

249466972160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 249466972096 and 249466972105.

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, 153896150 + ... + 153897770.

It is an arithmetic number, because the mean of its divisors is an integer number (1892995650).

Almost surely, 2249466972160 is an apocalyptic number.

249466972160 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 249466972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363455164800).

249466972160 is an abundant number, since it is smaller than the sum of its proper divisors (477443357440).

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

249466972160 is a wasteful number, since it uses less digits than its factorization.

249466972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 249466972160 in words is "two hundred forty-nine billion, four hundred sixty-six million, nine hundred seventy-two thousand, one hundred sixty".