Search a number
-
+
14928732000 = 253353731331
BaseRepresentation
bin11011110011101001…
…00101111101100000
31102112102001011101000
431321310211331200
5221033223411000
610505210312000
71035643062000
oct157164457540
942472034330
1014928732000
116370975346
122a87728600
13153bb55340
14a18992000
155c5938000
hex379d25f60

14928732000 has 1536 divisors, whose sum is σ = 70447104000. Its totient is φ = 3048192000.

The previous prime is 14928731981. The next prime is 14928732011. The reversal of 14928732000 is 23782941.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 481571985 + ... + 481572015.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 214928732000 is an apocalyptic number.

14928732000 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 14928732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552000).

14928732000 is an abundant number, since it is smaller than the sum of its proper divisors (55518372000).

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

14928732000 is a wasteful number, since it uses less digits than its factorization.

14928732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14928732000 in words is "fourteen billion, nine hundred twenty-eight million, seven hundred thirty-two thousand".