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23102788248 = 23341712891627
BaseRepresentation
bin10101100001000010…
…001001001010011000
32012122001222020120000
4111201002021022120
5334303303210443
614340244533000
71445336313531
oct254102111230
965561866500
1023102788248
119885a15831
1245890b1160
13224246ab07
141192407688
159033658d3
hex561089298

23102788248 has 160 divisors (see below), whose sum is σ = 68610920400. Its totient is φ = 7237859328.

The previous prime is 23102788217. The next prime is 23102788253. The reversal of 23102788248 is 84288720132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14198811 + ... + 14200437.

Almost surely, 223102788248 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 23102788248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305460200).

23102788248 is an abundant number, since it is smaller than the sum of its proper divisors (45508132152).

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

23102788248 is a wasteful number, since it uses less digits than its factorization.

23102788248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 23102788248 in words is "twenty-three billion, one hundred two million, seven hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1289 1377 1627 1836 2578 2754 3254 3672 3867 4881 5156 5508 6508 7734 9762 10312 11016 11601 13016 14643 15468 19524 21913 23202 27659 29286 30936 34803 39048 43826 43929 46404 55318 58572 65739 69606 82977 87652 87858 92808 104409 110636 117144 131478 131787 139212 165954 175304 175716 197217 208818 221272 248931 262956 263574 278424 331908 351432 394434 417636 497862 525912 527148 591651 663816 746793 788868 835272 995724 1054296 1183302 1493586 1577736 1774953 1991448 2097203 2240379 2366604 2987172 3549906 4194406 4480758 4733208 5974344 6291609 7099812 8388812 8961516 12583218 14199624 16777624 17923032 18874827 25166436 35652451 37749654 50332872 56624481 71304902 75499308 106957353 113248962 142609804 150998616 169873443 213914706 226497924 285219608 320872059 339746886 427829412 452995848 641744118 679493772 855658824 962616177 1283488236 1358987544 1925232354 2566976472 2887848531 3850464708 5775697062 7700929416 11551394124 23102788248