Search a number
-
+
116702328960 = 273357171929103
BaseRepresentation
bin110110010110000000…
…0000011100010000000
3102011020012000120021000
41230230000003202000
53403001244011320
6125340131532000
711300664300060
oct1545400034200
9364205016230
10116702328960
1145547471058
121a74b45a000
13b00ac3c129
1459113b53a0
153080712c90
hex1b2c003880

116702328960 has 2048 divisors, whose sum is σ = 549918720000. Its totient is φ = 22741254144.

The previous prime is 116702328959. The next prime is 116702328961. The reversal of 116702328960 is 69823207611.

It is an interprime number because it is at equal distance from previous prime (116702328959) and next prime (116702328961).

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

It is not an unprimeable number, because it can be changed into a prime (116702328961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1133032269 + ... + 1133032371.

It is an arithmetic number, because the mean of its divisors is an integer number (268515000).

Almost surely, 2116702328960 is an apocalyptic number.

116702328960 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 116702328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360000).

116702328960 is an abundant number, since it is smaller than the sum of its proper divisors (433216391040).

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

116702328960 is a wasteful number, since it uses less digits than its factorization.

116702328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 116702328960 in words is "one hundred sixteen billion, seven hundred two million, three hundred twenty-eight thousand, nine hundred sixty".