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23938337522064 = 24372313722610299
BaseRepresentation
bin1010111000101100101000…
…00110101100000110010000
310010202111000220022202211210
411130112110012230012100
511114201203401201224
6122525042003140120
75020326214432620
oct534262406540620
9103674026282753
1023938337522064
11769a212507339
1228274b0974640
1310484b60b2724
145ca89bdcc880
152b7a5769c429
hex15c5941ac190

23938337522064 has 160 divisors (see below), whose sum is σ = 74286231091200. Its totient is φ = 6494401115136.

The previous prime is 23938337522027. The next prime is 23938337522069. The reversal of 23938337522064 is 46022573383932.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23938337521995 and 23938337522013.

It is not an unprimeable number, because it can be changed into a prime (23938337522069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10246414 + ... + 12363885.

It is an arithmetic number, because the mean of its divisors is an integer number (464288944320).

Almost surely, 223938337522064 is an apocalyptic number.

23938337522064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23938337522064 is an abundant number, since it is smaller than the sum of its proper divisors (50347893569136).

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

23938337522064 is a wasteful number, since it uses less digits than its factorization.

23938337522064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22610477 (or 22610471 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 57.

The spelling of 23938337522064 in words is "twenty-three trillion, nine hundred thirty-eight billion, three hundred thirty-seven million, five hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 137 138 161 168 184 274 276 322 336 368 411 483 548 552 644 822 959 966 1096 1104 1288 1644 1918 1932 2192 2576 2877 3151 3288 3836 3864 5754 6302 6576 7672 7728 9453 11508 12604 15344 18906 22057 23016 25208 37812 44114 46032 50416 66171 75624 88228 132342 151248 176456 264684 352912 529368 1058736 22610299 45220598 67830897 90441196 135661794 158272093 180882392 271323588 316544186 361764784 474816279 520036877 542647176 633088372 949632558 1040073754 1085294352 1266176744 1560110631 1899265116 2080147508 2532353488 3097610963 3120221262 3640258139 3798530232 4160295016 6195221926 6240442524 7280516278 7597060464 8320590032 9292832889 10920774417 12390443852 12480885048 14561032556 18585665778 21683276741 21841548834 24780887704 24961770096 29122065112 37171331556 43366553482 43683097668 49561775408 58244130224 65049830223 71245052149 74342663112 86733106964 87366195336 130099660446 142490104298 148685326224 173466213928 174732390672 213735156447 260199320892 284980208596 346932427856 427470312894 498715365043 520398641784 569960417192 854940625788 997430730086 1040797283568 1139920834384 1496146095129 1709881251576 1994861460172 2992292190258 3419762503152 3989722920344 5984584380516 7979445840688 11969168761032 23938337522064