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23121478341864 = 2332732943750797
BaseRepresentation
bin1010100000111011000111…
…00000001101010011101000
310000212101120120122221101200
411100131203200031103220
511012310241423414424
6121101505512044200
74604320534113000
oct520354340152350
9100771516587350
1023121478341864
117404844825a71
122715120393660
13cb94663791a6
1459d12a963000
152a169924c8c9
hex15076380d4e8

23121478341864 has 384 divisors, whose sum is σ = 77302162080000. Its totient is φ = 6229997093376.

The previous prime is 23121478341833. The next prime is 23121478341869. The reversal of 23121478341864 is 46814387412132.

23121478341864 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 147 + 83 + 418 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23121478341864.

It is not an unprimeable number, because it can be changed into a prime (23121478341869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30420514 + ... + 31171310.

It is an arithmetic number, because the mean of its divisors is an integer number (201307713750).

Almost surely, 223121478341864 is an apocalyptic number.

23121478341864 is a gapful number since it is divisible by the number (24) 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 23121478341864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38651081040000).

23121478341864 is an abundant number, since it is smaller than the sum of its proper divisors (54180683738136).

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

23121478341864 is a wasteful number, since it uses less digits than its factorization.

23121478341864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750902 (or 750881 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 23121478341864 in words is "twenty-three trillion, one hundred twenty-one billion, four hundred seventy-eight million, three hundred forty-one thousand, eight hundred sixty-four".