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116153656200 = 2332521011036203
BaseRepresentation
bin110110000101101001…
…1000010001110001000
3102002210221121002201200
41230023103002032020
53400340313444300
6125205451544200
711251252534041
oct1541323021610
9362727532650
10116153656200
114529579009a
121a61775b060
13ac51374aaa
14589c58d8c8
15304c483200
hex1b0b4c2388

116153656200 has 288 divisors, whose sum is σ = 397833733440. Its totient is φ = 30364992000.

The previous prime is 116153656193. The next prime is 116153656231. The reversal of 116153656200 is 2656351611.

116153656200 is a `hidden beast` number, since 1 + 1 + 61 + 5 + 36 + 562 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18722299 + ... + 18728501.

It is an arithmetic number, because the mean of its divisors is an integer number (1381367130).

Almost surely, 2116153656200 is an apocalyptic number.

116153656200 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 116153656200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198916866720).

116153656200 is an abundant number, since it is smaller than the sum of its proper divisors (281680077240).

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

116153656200 is a wasteful number, since it uses less digits than its factorization.

116153656200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 116153656200 in words is "one hundred sixteen billion, one hundred fifty-three million, six hundred fifty-six thousand, two hundred".