Search a number
-
+
23348506254336 = 210327547335693
BaseRepresentation
bin1010100111100001111110…
…11010111101110000000000
310001200002120112201211122100
411103300333122331300000
511030020220100114321
6121354053344110400
74626605515405434
oct523607732756000
9101602515654570
1023348506254336
1174920560a490a
12275111b605400
1310049a709c983
145aa1064709c4
152a753541c326
hex153c3f6bdc00

23348506254336 has 132 divisors (see below), whose sum is σ = 67427439100632. Its totient is φ = 7781780987904.

The previous prime is 23348506254329. The next prime is 23348506254347. The reversal of 23348506254336 is 63345260584332.

It is a happy number.

23348506254336 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 8 + 5 + 0 + 62 + 543 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 69385306 + ... + 69720998.

Almost surely, 223348506254336 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 23348506254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33713719550316).

23348506254336 is an abundant number, since it is smaller than the sum of its proper divisors (44078932846296).

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

23348506254336 is a wasteful number, since it uses less digits than its factorization.

23348506254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343266 (or 343245 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 23348506254336 in words is "twenty-three trillion, three hundred forty-eight billion, five hundred six million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 7547 9216 15094 22641 30188 45282 60376 67923 90564 120752 135846 181128 241504 271692 335693 362256 483008 543384 671386 724512 966016 1007079 1086768 1342772 1449024 1932032 2014158 2173536 2685544 2898048 3021237 3864064 4028316 4347072 5371088 5796096 6042474 7728128 8056632 8694144 10742176 11592192 12084948 16113264 17388288 21484352 23184384 24169896 32226528 34776576 42968704 48339792 64453056 69553152 85937408 96679584 128906112 171874816 193359168 257812224 343749632 386718336 515624448 773436672 1031248896 1546873344 2533475071 3093746688 5066950142 7600425213 10133900284 15200850426 20267800568 22801275639 30401700852 40535601136 45602551278 60803401704 81071202272 91205102556 121606803408 162142404544 182410205112 243213606816 324284809088 364820410224 486427213632 648569618176 729640820448 972854427264 1297139236352 1459281640896 1945708854528 2594278472704 2918563281792 3891417709056 5837126563584 7782835418112 11674253127168 23348506254336