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23874893367136 = 2574791186318757
BaseRepresentation
bin1010110110110110011101…
…00010011100011101100000
310010112102021100221202201221
411123123032202130131200
511112131240200222021
6122435550302504424
75012622054136120
oct533331642343540
9103472240852657
1023874893367136
117675315985749
122817145595114
131042514c3c956
145c779dd56c80
152b60928be241
hex15b6ce89c760

23874893367136 has 96 divisors (see below), whose sum is σ = 53838065111040. Its totient is φ = 10209330740736.

The previous prime is 23874893367133. The next prime is 23874893367151. The reversal of 23874893367136 is 63176339847832.

It is a super-2 number, since 2×238748933671362 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23874893367133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272843070 + ... + 1272861826.

It is an arithmetic number, because the mean of its divisors is an integer number (560813178240).

Almost surely, 223874893367136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23874893367136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26919032555520).

23874893367136 is an abundant number, since it is smaller than the sum of its proper divisors (29963171743904).

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

23874893367136 is a wasteful number, since it uses less digits than its factorization.

23874893367136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31116 (or 31108 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 70.

The spelling of 23874893367136 in words is "twenty-three trillion, eight hundred seventy-four billion, eight hundred ninety-three million, three hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 479 958 1916 3353 3832 6706 7664 11863 13412 15328 18757 23726 26824 37514 47452 53648 75028 83041 94904 107296 131299 150056 166082 189808 262598 300112 332164 379616 525196 600224 664328 1050392 1328656 2100784 2657312 4201568 5682377 8984603 11364754 17969206 22729508 35938412 39776639 45459016 62892221 71876824 79553278 90918032 125784442 143753648 159106556 181836064 222514291 251568884 287507296 318213112 445028582 503137768 636426224 890057164 1006275536 1272852448 1557600037 1780114328 2012551072 3115200074 3560228656 6230400148 7120457312 12460800296 24921600592 49843201184 106584345389 213168690778 426337381556 746090417723 852674763112 1492180835446 1705349526224 2984361670892 3410699052448 5968723341784 11937446683568 23874893367136