Search a number
-
+
23276069275848 = 23341229694714869
BaseRepresentation
bin1010100101011011000011…
…10101110100100011001000
310001102011121021210001202020
411102231201311310203020
511022323342213311343
6121300513440204440
74621432460300304
oct522554165644310
9101364537701666
1023276069275848
117464364333834
12273b084609720
13ccac01ac021c
145a67d3d30d04
152a56e5dcdb83
hex152b61d748c8

23276069275848 has 128 divisors (see below), whose sum is σ = 59882394096000. Its totient is φ = 7534807418880.

The previous prime is 23276069275841. The next prime is 23276069275883. The reversal of 23276069275848 is 84857296067232.

It is a super-2 number, since 2×232760692758482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23276069275841) 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, 1565401758 + ... + 1565416626.

It is an arithmetic number, because the mean of its divisors is an integer number (467831203875).

Almost surely, 223276069275848 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 23276069275848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941197048000).

23276069275848 is an abundant number, since it is smaller than the sum of its proper divisors (36606324820152).

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

23276069275848 is a wasteful number, since it uses less digits than its factorization.

23276069275848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22095 (or 22091 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 23276069275848 in words is "twenty-three trillion, two hundred seventy-six billion, sixty-nine million, two hundred seventy-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 916 984 1374 1832 2748 5496 6947 9389 13894 14869 18778 20841 27788 28167 29738 37556 41682 44607 55576 56334 59476 75112 83364 89214 112668 118952 166728 178428 225336 284827 356856 569654 609629 854481 1139308 1219258 1590863 1708962 1828887 2278616 2438516 3181726 3405001 3417924 3657774 4772589 4877032 6363452 6810002 6835848 7315548 9545178 10215003 12726904 13620004 14631096 19090356 20430006 27240008 38180712 40860012 65225383 81720024 103294943 130450766 139605041 195676149 206589886 260901532 279210082 309884829 391352298 413179772 418815123 521803064 558420164 619769658 782704596 826359544 837630246 1116840328 1239539316 1565409192 1675260492 2479078632 3350520984 4235092663 8470185326 12705277989 16940370652 23654541947 25410555978 33880741304 47309083894 50821111956 70963625841 94618167788 101642223912 141927251682 189236335576 283854503364 567709006728 969836219827 1939672439654 2909508659481 3879344879308 5819017318962 7758689758616 11638034637924 23276069275848