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1307085831645 = 35112739865171
BaseRepresentation
bin10011000001010100011…
…000101111110111011101
311121221211001120222220020
4103001110120233313131
5132403402433103040
62440244505342353
7163301543152566
oct23012430576735
94557731528806
101307085831645
11464371970400
121913a44979b9
1396347122c29
144739868916d
1524001045cd0
hex1305462fddd

1307085831645 has 48 divisors (see below), whose sum is σ = 2330232547776. Its totient is φ = 625057171200.

The previous prime is 1307085831617. The next prime is 1307085831659. The reversal of 1307085831645 is 5461385807031.

It is not a de Polignac number, because 1307085831645 - 210 = 1307085830621 is a prime.

It is a super-3 number, since 3×13070858316453 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4800091 + ... + 5065080.

It is an arithmetic number, because the mean of its divisors is an integer number (48546511412).

Almost surely, 21307085831645 is an apocalyptic number.

1307085831645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307085831645 is a deficient number, since it is larger than the sum of its proper divisors (1023146716131).

1307085831645 is a wasteful number, since it uses less digits than its factorization.

1307085831645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865274 (or 9865263 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 1307085831645 in words is "one trillion, three hundred seven billion, eighty-five million, eight hundred thirty-one thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 73 121 165 219 363 365 605 803 1095 1815 2409 4015 8833 12045 26499 44165 132495 9865171 29595513 49325855 108516881 147977565 325550643 542584405 720157483 1193685691 1627753215 2160472449 3581057073 3600787415 5968428455 7921732313 10802362245 17905285365 23765196939 39608661565 87139055443 118825984695 261417166329 435695277215 1307085831645