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5309898972768 = 2532131418242247
BaseRepresentation
bin100110101000100111010…
…1001000101111001100000
3200210121202222201001222100
41031101032221011321200
51143444133114112033
615143200043010400
71055425150365435
oct115211651057140
920717688631870
105309898972768
111767a085a5595
12719116509a00
132c694b99a0c0
1414500146db8c
15931c8e84513
hex4d44ea45e60

5309898972768 has 72 divisors (see below), whose sum is σ = 16261565615568. Its totient is φ = 1633815067392.

The previous prime is 5309898972761. The next prime is 5309898972769. The reversal of 5309898972768 is 8672798989035.

5309898972768 is a `hidden beast` number, since 530 + 9 + 8 + 9 + 8 + 9 + 7 + 2 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5309898972761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 709117380 + ... + 709124867.

It is an arithmetic number, because the mean of its divisors is an integer number (225855077994).

Almost surely, 25309898972768 is an apocalyptic number.

It is an amenable number.

5309898972768 is an abundant number, since it is smaller than the sum of its proper divisors (10951666642800).

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

5309898972768 is a wasteful number, since it uses less digits than its factorization.

5309898972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418242276 (or 1418242265 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 5309898972768 in words is "five trillion, three hundred nine billion, eight hundred ninety-eight million, nine hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1418242247 2836484494 4254726741 5672968988 8509453482 11345937976 12764180223 17018906964 18437149211 22691875952 25528360446 34037813928 36874298422 45383751904 51056720892 55311447633 68075627856 73748596844 102113441784 110622895266 136151255712 147497193688 165934342899 204226883568 221245790532 294994387376 331868685798 408453767136 442491581064 589988774752 663737371596 884983162128 1327474743192 1769966324256 2654949486384 5309898972768