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116280147456 = 29341137832
BaseRepresentation
bin110110001001011010…
…1100011111000000000
3102010010202121112010000
41230102311203320000
53401120204204311
6125230211040000
711254346642154
oct1542265437000
9363122545100
10116280147456
1145350125920
121a651ba0000
13ac716324a5
1458b12b9064
15305861c056
hex1b12d63e00

116280147456 has 600 divisors, whose sum is σ = 393591319704. Its totient is φ = 33871011840.

The previous prime is 116280147427. The next prime is 116280147457. The reversal of 116280147456 is 654741082611.

116280147456 is a `hidden beast` number, since 1 + 1 + 628 + 0 + 14 + 7 + 4 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116280147457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1400965591 + ... + 1400965673.

Almost surely, 2116280147456 is an apocalyptic number.

116280147456 is a gapful number since it is divisible by the number (16) 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 116280147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196795659852).

116280147456 is an abundant number, since it is smaller than the sum of its proper divisors (277311172248).

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

116280147456 is an frugal number, since it uses more digits than its factorization.

116280147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 116280147456 in words is "one hundred sixteen billion, two hundred eighty million, one hundred forty-seven thousand, four hundred fifty-six".