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689351232752 = 247131513798273
BaseRepresentation
bin10100000100000001000…
…10010000110011110000
32102220100001221222020222
422002000202100303300
542243242403422002
61244403353152212
7100542523540610
oct12020042206360
92386301858228
10689351232752
11246396888206
12b17263bb668
135000c23a930
1425516d42a40
1512de92971a2
hexa080890cf0

689351232752 has 160 divisors (see below), whose sum is σ = 1659290465280. Its totient is φ = 270156902400.

The previous prime is 689351232707. The next prime is 689351232761. The reversal of 689351232752 is 257232153986.

It is a junction number, because it is equal to n+sod(n) for n = 689351232694 and 689351232703.

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, 83321288 + ... + 83329560.

It is an arithmetic number, because the mean of its divisors is an integer number (10370565408).

Almost surely, 2689351232752 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 689351232752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829645232640).

689351232752 is an abundant number, since it is smaller than the sum of its proper divisors (969939232528).

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

689351232752 is a wasteful number, since it uses less digits than its factorization.

689351232752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8831 (or 8825 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 53.

The spelling of 689351232752 in words is "six hundred eighty-nine billion, three hundred fifty-one million, two hundred thirty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 151 182 208 302 364 379 604 728 758 1057 1208 1456 1516 1963 2114 2416 2653 3032 3926 4228 4927 5306 6064 7852 8273 8456 9854 10612 13741 15704 16546 16912 19708 21224 27482 31408 33092 34489 39416 42448 54964 57229 57911 66184 68978 78832 107549 109928 114458 115822 132368 137956 215098 219856 228916 231644 275912 400603 430196 457832 463288 551824 743977 752843 801206 860392 915664 926576 1249223 1487954 1505686 1602412 1720784 2498446 2975908 3011372 3135467 3204824 4996892 5207839 5951816 6022744 6270934 6409648 8744561 9993784 10415678 11903632 12045488 12541868 16239899 17489122 19987568 20831356 21948269 25083736 32479798 34978244 40761071 41662712 43896538 50167472 64959596 69956488 81522142 83325424 87793076 113679293 129919192 139912976 163044284 175586152 227358586 259838384 285327497 326088568 351172304 454717172 473455517 570654994 652177136 909434344 946911034 1141309988 1818868688 1893822068 2282619976 3314188619 3787644136 4565239952 6154921721 6628377238 7575288272 12309843442 13256754476 24619686884 26513508952 43084452047 49239373768 53027017904 86168904094 98478747536 172337808188 344675616376 689351232752