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116332216000 = 26537111373199
BaseRepresentation
bin110110001010111110…
…0001011111011000000
3102010021101120212201121
41230111330023323000
53401222021403000
6125235311042024
711255551343410
oct1542574137300
9363241525647
10116332216000
1145377559780
121a667510314
13ac7c363290
1458b8190640
15305cea4b1a
hex1b15f0bec0

116332216000 has 896 divisors, whose sum is σ = 394084454400. Its totient is φ = 32845824000.

The previous prime is 116332215911. The next prime is 116332216037. The reversal of 116332216000 is 612233611.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 127 ways as a sum of consecutive naturals, for example, 584583901 + ... + 584584099.

It is an arithmetic number, because the mean of its divisors is an integer number (439826400).

Almost surely, 2116332216000 is an apocalyptic number.

116332216000 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 116332216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197042227200).

116332216000 is an abundant number, since it is smaller than the sum of its proper divisors (277752238400).

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

116332216000 is a wasteful number, since it uses less digits than its factorization.

116332216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 116332216000 its reverse (612233611), we get a palindrome (116944449611).

The spelling of 116332216000 in words is "one hundred sixteen billion, three hundred thirty-two million, two hundred sixteen thousand".