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116356277400 = 2335211196191499
BaseRepresentation
bin110110001011101011…
…1111110010010011000
3102010100001212022202120
41230113113332102120
53401244201334100
6125241530501240
711256263016306
oct1542727762230
9363301768676
10116356277400
114538a0a3430
121a673594820
13ac843391ac
1458bb455276
1530601590a0
hex1b175fe498

116356277400 has 384 divisors, whose sum is σ = 415152000000. Its totient is φ = 26662003200.

The previous prime is 116356277369. The next prime is 116356277413. The reversal of 116356277400 is 4772653611.

It is a happy number.

It is a congruent number.

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, 77621851 + ... + 77623349.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125000).

Almost surely, 2116356277400 is an apocalyptic number.

116356277400 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 116356277400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207576000000).

116356277400 is an abundant number, since it is smaller than the sum of its proper divisors (298795722600).

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

116356277400 is a wasteful number, since it uses less digits than its factorization.

116356277400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 116356277400 in words is "one hundred sixteen billion, three hundred fifty-six million, two hundred seventy-seven thousand, four hundred".