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676609931376 = 243329237722721
BaseRepresentation
bin10011101100010010001…
…10000011100001110000
32101200110002221210121000
421312021012003201300
542041144120301001
61234455203002000
766612011344431
oct11661106034160
92350402853530
10676609931376
11240a48737975
12ab16b369300
134ba5b635a52
1424a68ab9488
15129008e6a86
hex9d89183870

676609931376 has 160 divisors (see below), whose sum is σ = 2010024475200. Its totient is φ = 217658327040.

The previous prime is 676609931363. The next prime is 676609931447. The reversal of 676609931376 is 673139906676.

676609931376 is a `hidden beast` number, since 6 + 7 + 6 + 609 + 9 + 3 + 13 + 7 + 6 = 666.

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, 29767696 + ... + 29790416.

It is an arithmetic number, because the mean of its divisors is an integer number (12562652970).

Almost surely, 2676609931376 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 676609931376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005012237600).

676609931376 is an abundant number, since it is smaller than the sum of its proper divisors (1333414543824).

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

676609931376 is a wasteful number, since it uses less digits than its factorization.

676609931376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25144 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 676609931376 in words is "six hundred seventy-six billion, six hundred nine million, nine hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 2377 3132 4176 4754 6264 7131 9508 12528 14262 19016 21393 22721 28524 38032 42786 45442 57048 64179 68163 68933 85572 90884 114096 128358 136326 137866 171144 181768 204489 206799 256716 272652 275732 342288 363536 408978 413598 513432 545304 551464 613467 620397 658909 817956 827196 1026864 1090608 1102928 1226934 1240794 1317818 1635912 1654392 1861191 1976727 2453868 2481588 2635636 3271824 3308784 3722382 3953454 4907736 4963176 5271272 5930181 7444764 7906908 9815472 9926352 10542544 11860362 14889528 15813816 17790543 23720724 29779056 31627632 35581086 47441448 54007817 71162172 94882896 108015634 142324344 162023451 216031268 284648688 324046902 432062536 486070353 648093804 864125072 972140706 1296187608 1458211059 1566226693 1944281412 2592375216 2916422118 3132453386 3888562824 4698680079 5832844236 6264906772 7777125648 9397360158 11665688472 12529813544 14096040237 18794720316 23331376944 25059627088 28192080474 37589440632 42288120711 56384160948 75178881264 84576241422 112768321896 169152482844 225536643792 338304965688 676609931376