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116241415680000 = 212354134173389
BaseRepresentation
bin11010011011100010010000…
…010010100011000000000000
3120020120120102010021112212210
4122123202100102203000000
5110213444404403230000
61051120322534422120
733325110433455552
oct3233422022430000
9506516363245783
10116241415680000
1134046786820156
1211054446b01940
134cb26980b1440
14209c1864134d2
15d68a8ca47350
hex69b8904a3000

116241415680000 has 2080 divisors, whose sum is σ = 434231779101120. Its totient is φ = 27462205440000.

The previous prime is 116241415679999. The next prime is 116241415680001. The reversal of 116241415680000 is 86514142611.

116241415680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (116241415679999) and next prime (116241415680001).

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (116241415680001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 298821119806 + ... + 298821120194.

It is an arithmetic number, because the mean of its divisors is an integer number (208765278414).

Almost surely, 2116241415680000 is an apocalyptic number.

116241415680000 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 116241415680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217115889550560).

116241415680000 is an abundant number, since it is smaller than the sum of its proper divisors (317990363421120).

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

116241415680000 is an equidigital number, since it uses as much as digits as its factorization.

116241415680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 116241415680000 in words is "one hundred sixteen trillion, two hundred forty-one billion, four hundred fifteen million, six hundred eighty thousand".