Search a number
-
+
14982223680 = 2632535314737
BaseRepresentation
bin11011111010000001…
…01001011101000000
31102200010200211011100
431331000221131000
5221140422124210
610514401014400
71040162541264
oct157500513500
942603624140
1014982223680
116399090446
122aa1624400
131549c63b18
14a21b180a4
155ca4a25c0
hex37d029740

14982223680 has 168 divisors, whose sum is σ = 51682098312. Its totient is φ = 3983671296.

The previous prime is 14982223661. The next prime is 14982223681. The reversal of 14982223680 is 8632228941.

It can be written as a sum of positive squares in 4 ways, for example, as 3052341504 + 11929882176 = 55248^2 + 109224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14982223681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009272 + ... + 1024008.

Almost surely, 214982223680 is an apocalyptic number.

14982223680 is a gapful number since it is divisible by the number (10) 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 14982223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25841049156).

14982223680 is an abundant number, since it is smaller than the sum of its proper divisors (36699874632).

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

14982223680 is a wasteful number, since it uses less digits than its factorization.

14982223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15113 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14982223680 in words is "fourteen billion, nine hundred eighty-two million, two hundred twenty-three thousand, six hundred eighty".