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8685032973444 = 2232292169372
BaseRepresentation
bin111111001100010010001…
…0011100010010010000100
31010202021120212210001222100
41332120210103202102010
52114243421420122234
630245503222032100
71554321133134642
oct176304423422204
933667525701870
108685032973444
1128493357712a3
12b83273b78630
134accc22bb569
14220501ca4192
15100db706d399
hex7e6244e2484

8685032973444 has 81 divisors (see below), whose sum is σ = 22738309047727. Its totient is φ = 2795017991808.

The previous prime is 8685032973437. The next prime is 8685032973451. The reversal of 8685032973444 is 4443792305868.

The square root of 8685032973444 is 2947038.

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

8685032973444 is a `hidden beast` number, since 8 + 6 + 8 + 503 + 2 + 97 + 34 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8685032973437) and next prime (8685032973451).

It can be written as a sum of positive squares in 4 ways, for example, as 148772204100 + 8536260769344 = 385710^2 + 2921688^2 .

It is a super-2 number, since 2×86850329734442 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 512776144 + ... + 512793080.

Almost surely, 28685032973444 is an apocalyptic number.

8685032973444 is the 2947038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8685032973444

8685032973444 is an abundant number, since it is smaller than the sum of its proper divisors (14053276074283).

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

8685032973444 is an equidigital number, since it uses as much as digits as its factorization.

8685032973444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33942 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 8685032973444 in words is "eight trillion, six hundred eighty-five billion, thirty-two million, nine hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 15138 16937 30276 33874 50811 67748 101622 152433 203244 304866 491173 609732 982346 1473519 1964692 2947038 4420557 5894076 8841114 14244017 17682228 28488034 42732051 56976068 85464102 128196153 170928204 256392306 286861969 512784612 573723938 860585907 1147447876 1721171814 2581757721 3442343628 5163515442 8318997101 10327030884 16637994202 24956991303 33275988404 49913982606 74870973909 99827965212 149741947818 241250915929 299483895636 482501831858 723752747787 965003663716 1447505495574 2171258243361 2895010991148 4342516486722 8685032973444