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262680245320 = 23515974112089
BaseRepresentation
bin1111010010100011110…
…1100111010001001000
3221010000122020001121211
43310220331213101020
513300432120322240
6320401301142504
724656314150003
oct3645075472110
9833018201554
10262680245320
11a1447172239
1242aab0baa34
131ba0313722c
14c9dc90453a
156c76158bea
hex3d28f67448

262680245320 has 32 divisors (see below), whose sum is σ = 591400783800. Its totient is φ = 105006279168.

The previous prime is 262680245281. The next prime is 262680245327. The reversal of 262680245320 is 23542086262.

262680245320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78222021124 + 184458224196 = 279682^2 + 429486^2 .

It is a super-2 number, since 2×2626802453202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (262680245327) 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 7 ways as a sum of consecutive naturals, for example, 1992165 + ... + 2119924.

Almost surely, 2262680245320 is an apocalyptic number.

262680245320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

262680245320 is an abundant number, since it is smaller than the sum of its proper divisors (328720538480).

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

262680245320 is a wasteful number, since it uses less digits than its factorization.

262680245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113697 (or 4113693 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 262680245320 in words is "two hundred sixty-two billion, six hundred eighty million, two hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1597 3194 6388 7985 12776 15970 31940 63880 4112089 8224178 16448356 20560445 32896712 41120890 82241780 164483560 6567006133 13134012266 26268024532 32835030665 52536049064 65670061330 131340122660 262680245320