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116363536640 = 28513174179127
BaseRepresentation
bin110110001011111001…
…1101010100100000000
3102010100120112010120022
41230113303222210000
53401303031133030
6125242350233012
711256411512261
oct1542763524400
9363316463508
10116363536640
11453932013aa
121a675ab5768
13ac859ab3c0
1458bc3c4968
153060adede5
hex1b17cea900

116363536640 has 576 divisors, whose sum is σ = 332293570560. Its totient is φ = 38645268480.

The previous prime is 116363536609. The next prime is 116363536649. The reversal of 116363536640 is 46635363611.

It is a Cunningham number, because it is equal to 3411212-1.

It is a junction number, because it is equal to n+sod(n) for n = 116363536591 and 116363536600.

It is not an unprimeable number, because it can be changed into a prime (116363536649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916248257 + ... + 916248383.

It is an arithmetic number, because the mean of its divisors is an integer number (576898560).

Almost surely, 2116363536640 is an apocalyptic number.

116363536640 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 116363536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166146785280).

116363536640 is an abundant number, since it is smaller than the sum of its proper divisors (215930033920).

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

116363536640 is a wasteful number, since it uses less digits than its factorization.

116363536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 116363536640 in words is "one hundred sixteen billion, three hundred sixty-three million, five hundred thirty-six thousand, six hundred forty".