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8685256949776 = 2411460892
BaseRepresentation
bin111111001100011000110…
…1001111100000000010000
31010202022011111020020202001
41332120301221330000100
52114244401234343101
630245541342403344
71554326522662111
oct176306151740020
933668144206661
108685256949776
112849440140000
12b83316b90554
134b002981bb34
14220523928208
15100dcba61901
hex7e631a7c010

8685256949776 has 75 divisors (see below), whose sum is σ = 18513379401805. Its totient is φ = 3947195711360.

The previous prime is 8685256949737. The next prime is 8685256949821. The reversal of 8685256949776 is 6779496525868.

It is a happy number.

The square root of 8685256949776 is 2947076.

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

It can be written as a sum of positive squares in only one way, i.e., 1955175772176 + 6730081177600 = 1398276^2 + 2594240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8685256949776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1426381740 + ... + 1426387828.

Almost surely, 28685256949776 is an apocalyptic number.

8685256949776 is the 2947076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8685256949776

8685256949776 is an abundant number, since it is smaller than the sum of its proper divisors (9828122452029).

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

8685256949776 is an frugal number, since it uses more digits than its factorization.

8685256949776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 6102 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 82.

The spelling of 8685256949776 in words is "eight trillion, six hundred eighty-five billion, two hundred fifty-six million, nine hundred forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 6089 10648 12178 14641 21296 24356 29282 48712 58564 66979 97424 117128 133958 234256 267916 535832 736769 1071664 1473538 2947076 5894152 8104459 11788304 16208918 32417836 37075921 64835672 74151842 89149049 129671344 148303684 178298098 296607368 356596196 407835131 593214736 713192392 815670262 1426384784 1631340524 3262681048 4486186441 6525362096 8972372882 17944745764 35889491528 49348050851 71778983056 98696101702 197392203404 394784406808 542828559361 789568813616 1085657118722 2171314237444 4342628474888 8685256949776