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5305077237672 = 233444211851809
BaseRepresentation
bin100110100110010111100…
…1111101000011110101000
3200210011022221202112220000
41031030233033220132220
51143404244233101142
615141041400303000
71055164521331632
oct115145717503650
920704287675800
105305077237672
111765963885653
127181ab771a60
132c6360a55704
14144aa4d33a52
1592ee59e214c
hex4d32f3e87a8

5305077237672 has 80 divisors (see below), whose sum is σ = 14862497433300. Its totient is φ = 1767958133760.

The previous prime is 5305077237667. The next prime is 5305077237673. The reversal of 5305077237672 is 2767327705035.

5305077237672 is a `hidden beast` number, since 5 + 3 + 0 + 507 + 72 + 3 + 7 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3908789968356 + 1396287269316 = 1977066^2 + 1181646^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5305077237673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1938904 + ... + 3790712.

Almost surely, 25305077237672 is an apocalyptic number.

It is an amenable number.

5305077237672 is an abundant number, since it is smaller than the sum of its proper divisors (9557420195628).

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

5305077237672 is a wasteful number, since it uses less digits than its factorization.

5305077237672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856248 (or 1856235 counting only the distinct ones).

The product of its (nonzero) digits is 12965400, while the sum is 54.

The spelling of 5305077237672 in words is "five trillion, three hundred five billion, seventy-seven million, two hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4421 8842 13263 17684 26526 35368 39789 53052 79578 106104 119367 159156 238734 318312 358101 477468 716202 954936 1432404 1851809 2864808 3703618 5555427 7407236 11110854 14814472 16666281 22221708 33332562 44443416 49998843 66665124 99997686 133330248 149996529 199995372 299993058 399990744 599986116 1199972232 8186847589 16373695178 24560542767 32747390356 49121085534 65494780712 73681628301 98242171068 147363256602 196484342136 221044884903 294726513204 442089769806 589453026408 663134654709 884179539612 1326269309418 1768359079224 2652538618836 5305077237672