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116522538048 = 26327175928813
BaseRepresentation
bin110110010000101001…
…0001101010001000000
3102010202122201020111100
41230201102031101000
53402114232204143
6125310230214400
711263352142240
oct1544122152100
9363678636440
10116522538048
1145464a31524
121a6bb1b4400
13acac90c487
1458d5573b20
15306ea4b6d3
hex1b2148d440

116522538048 has 336 divisors, whose sum is σ = 411021336960. Its totient is φ = 30801641472.

The previous prime is 116522537981. The next prime is 116522538091. The reversal of 116522538048 is 840835225611.

116522538048 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 225 + 380 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 116522537994 and 116522538012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4029690 + ... + 4058502.

Almost surely, 2116522538048 is an apocalyptic number.

116522538048 is a gapful number since it is divisible by the number (18) 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 116522538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205510668480).

116522538048 is an abundant number, since it is smaller than the sum of its proper divisors (294498798912).

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

116522538048 is a wasteful number, since it uses less digits than its factorization.

116522538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28914 (or 28901 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 116522538048 in words is "one hundred sixteen billion, five hundred twenty-two million, five hundred thirty-eight thousand, forty-eight".