Search a number
-
+
16190778240 = 27325713172379
BaseRepresentation
bin11110001010000101…
…11010101110000000
31112210100210202100100
433011002322232000
5231124314400430
611234332322400
71112136226050
oct170502725600
945710722310
1016190778240
1169592aa36a
12317a313400
1316b0461c70
14ad8433560
1564b62c960
hex3c50bab80

16190778240 has 1536 divisors, whose sum is σ = 76988620800. Its totient is φ = 3036413952.

The previous prime is 16190778229. The next prime is 16190778287. The reversal of 16190778240 is 4287709161.

It is a happy number.

16190778240 is a `hidden beast` number, since 1 + 619 + 0 + 7 + 7 + 8 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204946521 + ... + 204946599.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 216190778240 is an apocalyptic number.

16190778240 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 16190778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38494310400).

16190778240 is an abundant number, since it is smaller than the sum of its proper divisors (60797842560).

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

16190778240 is a wasteful number, since it uses less digits than its factorization.

16190778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 16190 and 778240, that added together give a triangular number (794430 = T1260).

The spelling of 16190778240 in words is "sixteen billion, one hundred ninety million, seven hundred seventy-eight thousand, two hundred forty".