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61086528000 = 293353232953
BaseRepresentation
bin111000111001000010…
…100111001000000000
312211200020002010222000
4320321002213020000
52000101122344000
644021320144000
74261531630551
oct707102471000
9184606063860
1061086528000
11239a7830693
12ba09908000
1359b68a1b74
142d56cc6328
1518c7d27000
hexe390a7200

61086528000 has 1280 divisors, whose sum is σ = 248191257600. Its totient is φ = 14760345600.

The previous prime is 61086527989. The next prime is 61086528001. The reversal of 61086528000 is 82568016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61086528001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1152575974 + ... + 1152576026.

It is an arithmetic number, because the mean of its divisors is an integer number (193899420).

Almost surely, 261086528000 is an apocalyptic number.

61086528000 is a gapful number since it is divisible by the number (60) 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 61086528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124095628800).

61086528000 is an abundant number, since it is smaller than the sum of its proper divisors (187104729600).

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

61086528000 is a wasteful number, since it uses less digits than its factorization.

61086528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

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

The spelling of 61086528000 in words is "sixty-one billion, eighty-six million, five hundred twenty-eight thousand".