Search a number
-
+
116330426400 = 2535231101113137
BaseRepresentation
bin110110001010111010…
…1010111000000100000
3102010021021012221212010
41230111311113000200
53401221042121100
6125235204432520
711255530211046
oct1542565270040
9363237187763
10116330426400
1145376547171
121a6669a8740
13ac7bb87846
1458b7c46396
15305cc4e750
hex1b15d57020

116330426400 has 576 divisors, whose sum is σ = 401140325376. Its totient is φ = 29245440000.

The previous prime is 116330426389. The next prime is 116330426413. The reversal of 116330426400 is 4624033611.

116330426400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849127132 + ... + 849127268.

It is an arithmetic number, because the mean of its divisors is an integer number (696424176).

Almost surely, 2116330426400 is an apocalyptic number.

116330426400 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 116330426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200570162688).

116330426400 is an abundant number, since it is smaller than the sum of its proper divisors (284809898976).

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

116330426400 is a wasteful number, since it uses less digits than its factorization.

116330426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 116330426400 in words is "one hundred sixteen billion, three hundred thirty million, four hundred twenty-six thousand, four hundred".