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23232588643664 = 2417314185978233
BaseRepresentation
bin1010100100001010000100…
…01100010111110101010000
310001021000101001022002111122
411102011002030113311100
511021120320143044124
6121224523123301412
74615333130103641
oct522050214276520
9101230331262448
1023232588643664
117447981687274
12273276ab1a868
13cc6a928c2aba
145a466b3a76c8
152a44eda6375e
hex152142317d50

23232588643664 has 160 divisors (see below), whose sum is σ = 50457700500480. Its totient is φ = 10310101401600.

The previous prime is 23232588643651. The next prime is 23232588643709. The reversal of 23232588643664 is 46634688523232.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 23232588643597 and 23232588643606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296927492 + ... + 297005724.

It is an arithmetic number, because the mean of its divisors is an integer number (315360628128).

Almost surely, 223232588643664 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 23232588643664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228850250240).

23232588643664 is an abundant number, since it is smaller than the sum of its proper divisors (27225111856816).

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

23232588643664 is a wasteful number, since it uses less digits than its factorization.

23232588643664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79189 (or 79183 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 62.

The spelling of 23232588643664 in words is "twenty-three trillion, two hundred thirty-two billion, five hundred eighty-eight million, six hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 34 41 62 68 82 124 136 164 248 272 328 496 527 656 697 859 1054 1271 1394 1718 2108 2542 2788 3436 4216 5084 5576 6872 8432 10168 11152 13744 14603 20336 21607 26629 29206 35219 43214 53258 58412 70438 78233 86428 106516 116824 140876 156466 172856 213032 233648 281752 312932 345712 426064 452693 563504 598723 625864 905386 1091789 1197446 1251728 1329961 1810772 2183578 2394892 2425223 2659922 3207553 3621544 4367156 4789784 4850446 5319844 6415106 7243088 8734312 9579568 9700892 10639688 12830212 17468624 18560413 19401784 21279376 25660424 37120826 38803568 41228791 51320848 54528401 67202147 74241652 82457582 99434143 109056802 134404294 148483304 164915164 198868286 218113604 268808588 296966608 329830328 397736572 436227208 537617176 659660656 795473144 872454416 1075234352 1142436499 1590946288 1690380431 2083266557 2284872998 2755288027 3380760862 4166533114 4569745996 5510576054 6761521724 8333066228 9139491992 11021152108 13523043448 16666132456 18278983984 22042304216 27046086896 33332264912 35415531469 44084608432 46839896459 70831062938 85413928837 93679792918 141662125876 170827857674 187359585836 283324251752 341655715348 374719171672 566648503504 683311430696 749438343344 1366622861392 1452036790229 2904073580458 5808147160916 11616294321832 23232588643664