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6480374652964 = 2219231221612
BaseRepresentation
bin101111001001101010001…
…1011011110000000100100
3211221111222110012100010201
41132103110123132000210
51322133301402343324
621441013143000244
71236122503456402
oct136232433360044
924844873170121
106480374652964
112079347604183
12887b34439084
1338013460b394
1418591a7b4472
15b3881ba8444
hex5e4d46de024

6480374652964 has 81 divisors (see below), whose sum is σ = 12373222243473. Its totient is φ = 2969255491200.

The previous prime is 6480374652953. The next prime is 6480374652971. The reversal of 6480374652964 is 4692564730846.

The square root of 6480374652964 is 2545658.

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., 4062474051364 + 2417900601600 = 2015558^2 + 1554960^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6480374652896 and 6480374652905.

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, 2998784044 + ... + 2998786204.

Almost surely, 26480374652964 is an apocalyptic number.

6480374652964 is the 2545658-th square number.

It is an amenable number.

6480374652964 is a deficient number, since it is larger than the sum of its proper divisors (5892847590509).

6480374652964 is an equidigital number, since it uses as much as digits as its factorization.

6480374652964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 64.

Multiplying 6480374652964 by its sum of digits (64), we get a square (414743977789696 = 203652642).

The spelling of 6480374652964 in words is "six trillion, four hundred eighty billion, three hundred seventy-four million, six hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 19 31 38 62 76 124 361 589 722 961 1178 1444 1922 2161 2356 3844 4322 8644 11191 18259 22382 36518 41059 44764 66991 73036 82118 133982 164236 267964 346921 693842 780121 1272829 1387684 1560242 2076721 2545658 3120484 4153442 4669921 5091316 8306884 9339842 18679684 24183751 39457699 48367502 78915398 88728499 96735004 144767551 157830796 177456998 289535102 354913996 579070204 749696281 1499392562 1685841481 2750583469 2998785124 3371682962 4487794081 5501166938 6743365924 8975588162 11002333876 17951176324 52261085911 85268087539 104522171822 170536175078 209044343644 341072350156 1620093663241 3240187326482 6480374652964