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104766531012 = 22321113192334597
BaseRepresentation
bin110000110010010010…
…0100110010111000100
3101000102100201012120100
41201210210212113010
53204030212443022
6120043514204100
710366132551243
oct1414444462704
9330370635510
10104766531012
1140481a80430
121837a123630
139b581960b0
1450dc10a95a
152ad29251ac
hex18649265c4

104766531012 has 288 divisors, whose sum is σ = 328976968320. Its totient is φ = 27637770240.

The previous prime is 104766530977. The next prime is 104766531013. The reversal of 104766531012 is 210135667401.

104766531012 is a `hidden beast` number, since 10 + 47 + 66 + 531 + 0 + 12 = 666.

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 (104766531013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22787898 + ... + 22792494.

It is an arithmetic number, because the mean of its divisors is an integer number (1142281140).

Almost surely, 2104766531012 is an apocalyptic number.

104766531012 is a gapful number since it is divisible by the number (12) 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 104766531012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164488484160).

104766531012 is an abundant number, since it is smaller than the sum of its proper divisors (224210437308).

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

104766531012 is a wasteful number, since it uses less digits than its factorization.

104766531012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 104766531012 in words is "one hundred four billion, seven hundred sixty-six million, five hundred thirty-one thousand, twelve".