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64181308050 = 23252373382373
BaseRepresentation
bin111011110001100000…
…010000101010010010
320010122220110021002100
4323301200100222102
52022420403324200
645252352101230
74431321055116
oct736140205222
9203586407070
1064181308050
1125245747752
1210532234816
13608aabcc72
14316bd21746
151a0988dd00
hexef1810a92

64181308050 has 72 divisors (see below), whose sum is σ = 172896522084. Its totient is φ = 17069086080.

The previous prime is 64181308049. The next prime is 64181308099. The reversal of 64181308050 is 5080318146.

64181308050 is a `hidden beast` number, since 641 + 8 + 1 + 3 + 0 + 8 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 37241666361 + 26939641689 = 192981^2 + 164133^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64181307996 and 64181308014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23337 + ... + 359036.

Almost surely, 264181308050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64181308050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86448261042).

64181308050 is an abundant number, since it is smaller than the sum of its proper divisors (108715214034).

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

64181308050 is a wasteful number, since it uses less digits than its factorization.

64181308050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382764 (or 382756 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 64181308050 in words is "sixty-four billion, one hundred eighty-one million, three hundred eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 373 450 746 1119 1865 2238 3357 3730 5595 6714 9325 11190 16785 18650 27975 33570 55950 83925 167850 382373 764746 1147119 1911865 2294238 3441357 3823730 5735595 6882714 9559325 11471190 17206785 19118650 28677975 34413570 57355950 86033925 142625129 172067850 285250258 427875387 713125645 855750774 1283626161 1426251290 2139376935 2567252322 3565628225 4278753870 6418130805 7131256450 10696884675 12836261610 21393769350 32090654025 64181308050