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10320631705476 = 223256929412
BaseRepresentation
bin1001011000101111010110…
…0101100010111110000100
31100112122100120100111211100
42112023311211202332010
52323043123204033401
633541122135140100
72113432606023531
oct226136545427604
940478316314740
1010320631705476
113319a565a2a84
1211a825a814630
1359b3014ab981
142797423d3d88
1512d6e3a4eb86
hex962f5962f84

10320631705476 has 81 divisors (see below), whose sum is σ = 26161995679183. Its totient is φ = 3430515020160.

The previous prime is 10320631705471. The next prime is 10320631705487. The reversal of 10320631705476 is 67450713602301.

The square root of 10320631705476 is 3212574.

It is a perfect power (a square), and thus also a powerful number.

10320631705476 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 6 + 3 + 170 + 5 + 476 = 666.

10320631705476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 612422065476 + 9708209640000 = 782574^2 + 3115800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10320631705471) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10967727166 + ... + 10967728106.

Almost surely, 210320631705476 is an apocalyptic number.

10320631705476 is the 3212574-th square number.

It is an amenable number.

10320631705476 is an abundant number, since it is smaller than the sum of its proper divisors (15841363973707).

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

10320631705476 is an frugal number, since it uses more digits than its factorization.

10320631705476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10320631705476 in words is "ten trillion, three hundred twenty billion, six hundred thirty-one million, seven hundred five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 569 941 1138 1707 1882 2276 2823 3414 3764 5121 5646 6828 8469 10242 11292 16938 20484 33876 323761 535429 647522 885481 971283 1070858 1295044 1606287 1770962 1942566 2141716 2656443 2913849 3212574 3541924 3885132 4818861 5312886 5827698 6425148 7969329 9637722 10625772 11655396 15938658 19275444 31877316 304659101 503838689 609318202 913977303 1007677378 1218636404 1511516067 1827954606 2015354756 2741931909 3023032134 3655909212 4534548201 5483863818 6046064268 9069096402 10967727636 18138192804 286684214041 573368428082 860052642123 1146736856164 1720105284246 2580157926369 3440210568492 5160315852738 10320631705476