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116683050600 = 2332521075711061
BaseRepresentation
bin110110010101011011…
…0100000111001101000
3102011011211202010022200
41230222312200321220
53402431330104400
6125334202420200
711300341364664
oct1545266407150
9364154663280
10116683050600
11455375a3a26
121a744b01660
13b006c4c30c
14590c9d78a4
15307dba5b00
hex1b2ada0e68

116683050600 has 288 divisors, whose sum is σ = 396588947040. Its totient is φ = 30741696000.

The previous prime is 116683050577. The next prime is 116683050607. The reversal of 116683050600 is 6050386611.

It is a happy number.

116683050600 is a `hidden beast` number, since 1 + 16 + 6 + 8 + 30 + 5 + 0 + 600 = 666.

It is a super-2 number, since 2×1166830506002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116683050607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109974070 + ... + 109975130.

It is an arithmetic number, because the mean of its divisors is an integer number (1377044955).

Almost surely, 2116683050600 is an apocalyptic number.

116683050600 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 116683050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198294473520).

116683050600 is an abundant number, since it is smaller than the sum of its proper divisors (279905896440).

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

116683050600 is a wasteful number, since it uses less digits than its factorization.

116683050600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 116683050600 in words is "one hundred sixteen billion, six hundred eighty-three million, fifty thousand, six hundred".