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495347283624960 = 21032513826901849
BaseRepresentation
bin111000010100001000000011…
…0111000011000010000000000
32101221212201220212212120100100
41300220100012320120100000
51004411232214101444320
64513303222310322400
7206223442314334104
oct16050200670302000
92357781825776310
10495347283624960
1113391866aa24908
1247681757059400
13183520824a0140
148a46d1788d904
153c401bda13790
hex1c28406e18400

495347283624960 has 264 divisors, whose sum is σ = 1848393550949400. Its totient is φ = 121931638898688.

The previous prime is 495347283624959. The next prime is 495347283624961. The reversal of 495347283624960 is 69426382743594.

It is a happy number.

495347283624960 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 4 + 72 + 8 + 3 + 62 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495347283624959) and next prime (495347283624961).

It can be written as a sum of positive squares in 4 ways, for example, as 911856927744 + 494435426697216 = 954912^2 + 22235904^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (495347283624961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412851885 + ... + 414049964.

Almost surely, 2495347283624960 is an apocalyptic number.

495347283624960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495347283624960 is an abundant number, since it is smaller than the sum of its proper divisors (1353046267324440).

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

495347283624960 is a wasteful number, since it uses less digits than its factorization.

495347283624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826901893 (or 826901872 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 495347283624960 in words is "four hundred ninety-five trillion, three hundred forty-seven billion, two hundred eighty-three million, six hundred twenty-four thousand, nine hundred sixty".